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Finding the Fourth Proportional to 107.64, 148.71 and 75.06

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Solution

The fourth proportional to 107.64, 148.71 and 75.06 is: 103.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.64 : 148.71 = 75.06 : x
  2. Step 2: Convert to fraction form
    107.64/148.71 = 75.06/x
  3. Step 3: Cross multiply
    107.64x = 148.71 × 75.06
  4. Step 4: Simplify right side
    107.64x = 11,162.17
  5. Step 5: Solve for x
    x = 11,162.17/107.64
  6. Step 6: Final answer
    x = 103.70

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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.