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Finding the Fourth Proportional to 107.58, 148.14 and 100.02

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Solution

The fourth proportional to 107.58, 148.14 and 100.02 is: 137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.58 : 148.14 = 100.02 : x
  2. Step 2: Convert to fraction form
    107.58/148.14 = 100.02/x
  3. Step 3: Cross multiply
    107.58x = 148.14 × 100.02
  4. Step 4: Simplify right side
    107.58x = 14,816.96
  5. Step 5: Solve for x
    x = 14,816.96/107.58
  6. Step 6: Final answer
    x = 137.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.