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Finding the Fourth Proportional to 89.71, 123.67 and 74.11

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Solution

The fourth proportional to 89.71, 123.67 and 74.11 is: 102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.71 : 123.67 = 74.11 : x
  2. Step 2: Convert to fraction form
    89.71/123.67 = 74.11/x
  3. Step 3: Cross multiply
    89.71x = 123.67 × 74.11
  4. Step 4: Simplify right side
    89.71x = 9,165.18
  5. Step 5: Solve for x
    x = 9,165.18/89.71
  6. Step 6: Final answer
    x = 102.16

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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.