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Finding the Fourth Proportional to 92.52, 127.76 and 63.50

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Solution

The fourth proportional to 92.52, 127.76 and 63.50 is: 87.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.52 : 127.76 = 63.50 : x
  2. Step 2: Convert to fraction form
    92.52/127.76 = 63.50/x
  3. Step 3: Cross multiply
    92.52x = 127.76 × 63.50
  4. Step 4: Simplify right side
    92.52x = 8,111.80
  5. Step 5: Solve for x
    x = 8,111.80/92.52
  6. Step 6: Final answer
    x = 87.68

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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.