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Finding the Fourth Proportional to 89.66, 123.54 and 74.18

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Solution

The fourth proportional to 89.66, 123.54 and 74.18 is: 102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.66 : 123.54 = 74.18 : x
  2. Step 2: Convert to fraction form
    89.66/123.54 = 74.18/x
  3. Step 3: Cross multiply
    89.66x = 123.54 × 74.18
  4. Step 4: Simplify right side
    89.66x = 9,164.20
  5. Step 5: Solve for x
    x = 9,164.20/89.66
  6. Step 6: Final answer
    x = 102.21

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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.