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Finding the Fourth Proportional to 84.66, 127.50 and 71.91

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Solution

The fourth proportional to 84.66, 127.50 and 71.91 is: 108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.66 : 127.50 = 71.91 : x
  2. Step 2: Convert to fraction form
    84.66/127.50 = 71.91/x
  3. Step 3: Cross multiply
    84.66x = 127.50 × 71.91
  4. Step 4: Simplify right side
    84.66x = 9,168.53
  5. Step 5: Solve for x
    x = 9,168.53/84.66
  6. Step 6: Final answer
    x = 108.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.