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Finding the Fourth Proportional to 92.40, 137.52 and 89.28

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Solution

The fourth proportional to 92.40, 137.52 and 89.28 is: 132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.40 : 137.52 = 89.28 : x
  2. Step 2: Convert to fraction form
    92.40/137.52 = 89.28/x
  3. Step 3: Cross multiply
    92.40x = 137.52 × 89.28
  4. Step 4: Simplify right side
    92.40x = 12,277.79
  5. Step 5: Solve for x
    x = 12,277.79/92.40
  6. Step 6: Final answer
    x = 132.88

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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.