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Finding the Fourth Proportional to 92.50, 127.65 and 53.71

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Solution

The fourth proportional to 92.50, 127.65 and 53.71 is: 74.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.50 : 127.65 = 53.71 : x
  2. Step 2: Convert to fraction form
    92.50/127.65 = 53.71/x
  3. Step 3: Cross multiply
    92.50x = 127.65 × 53.71
  4. Step 4: Simplify right side
    92.50x = 6,856.08
  5. Step 5: Solve for x
    x = 6,856.08/92.50
  6. Step 6: Final answer
    x = 74.12

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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.