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Finding the Fourth Proportional to 107.58, 148.47 and 70.82

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Solution

The fourth proportional to 107.58, 148.47 and 70.82 is: 97.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.58 : 148.47 = 70.82 : x
  2. Step 2: Convert to fraction form
    107.58/148.47 = 70.82/x
  3. Step 3: Cross multiply
    107.58x = 148.47 × 70.82
  4. Step 4: Simplify right side
    107.58x = 10,515.33
  5. Step 5: Solve for x
    x = 10,515.33/107.58
  6. Step 6: Final answer
    x = 97.75

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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.