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Finding the Fourth Proportional to 75.47, 112.65 and 72.14

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Solution

The fourth proportional to 75.47, 112.65 and 72.14 is: 107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.47 : 112.65 = 72.14 : x
  2. Step 2: Convert to fraction form
    75.47/112.65 = 72.14/x
  3. Step 3: Cross multiply
    75.47x = 112.65 × 72.14
  4. Step 4: Simplify right side
    75.47x = 8,126.78
  5. Step 5: Solve for x
    x = 8,126.78/75.47
  6. Step 6: Final answer
    x = 107.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.