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Finding the Fourth Proportional to 89.53, 123.60 and 84.13

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Solution

The fourth proportional to 89.53, 123.60 and 84.13 is: 116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.53 : 123.60 = 84.13 : x
  2. Step 2: Convert to fraction form
    89.53/123.60 = 84.13/x
  3. Step 3: Cross multiply
    89.53x = 123.60 × 84.13
  4. Step 4: Simplify right side
    89.53x = 10,398.46
  5. Step 5: Solve for x
    x = 10,398.46/89.53
  6. Step 6: Final answer
    x = 116.14

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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.