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Finding the Fourth Proportional to 96.71, 145.59 and 75.17

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Solution

The fourth proportional to 96.71, 145.59 and 75.17 is: 113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.71 : 145.59 = 75.17 : x
  2. Step 2: Convert to fraction form
    96.71/145.59 = 75.17/x
  3. Step 3: Cross multiply
    96.71x = 145.59 × 75.17
  4. Step 4: Simplify right side
    96.71x = 10,944.00
  5. Step 5: Solve for x
    x = 10,944.00/96.71
  6. Step 6: Final answer
    x = 113.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.