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Finding the Fourth Proportional to 89.52, 133.70 and 74.16

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Solution

The fourth proportional to 89.52, 133.70 and 74.16 is: 110.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.52 : 133.70 = 74.16 : x
  2. Step 2: Convert to fraction form
    89.52/133.70 = 74.16/x
  3. Step 3: Cross multiply
    89.52x = 133.70 × 74.16
  4. Step 4: Simplify right side
    89.52x = 9,915.19
  5. Step 5: Solve for x
    x = 9,915.19/89.52
  6. Step 6: Final answer
    x = 110.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.