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Finding the Fourth Proportional to 96.93, 145.36 and 39.17

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Solution

The fourth proportional to 96.93, 145.36 and 39.17 is: 58.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.93 : 145.36 = 39.17 : x
  2. Step 2: Convert to fraction form
    96.93/145.36 = 39.17/x
  3. Step 3: Cross multiply
    96.93x = 145.36 × 39.17
  4. Step 4: Simplify right side
    96.93x = 5,693.75
  5. Step 5: Solve for x
    x = 5,693.75/96.93
  6. Step 6: Final answer
    x = 58.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.