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Finding the Fourth Proportional to 92.50, 127.71 and 71.83

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Solution

The fourth proportional to 92.50, 127.71 and 71.83 is: 99.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.50 : 127.71 = 71.83 : x
  2. Step 2: Convert to fraction form
    92.50/127.71 = 71.83/x
  3. Step 3: Cross multiply
    92.50x = 127.71 × 71.83
  4. Step 4: Simplify right side
    92.50x = 9,173.41
  5. Step 5: Solve for x
    x = 9,173.41/92.50
  6. Step 6: Final answer
    x = 99.17

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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.