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Finding the Fourth Proportional to 90.10, 135.24 and 89.76

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Solution

The fourth proportional to 90.10, 135.24 and 89.76 is: 134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.10 : 135.24 = 89.76 : x
  2. Step 2: Convert to fraction form
    90.10/135.24 = 89.76/x
  3. Step 3: Cross multiply
    90.10x = 135.24 × 89.76
  4. Step 4: Simplify right side
    90.10x = 12,139.31
  5. Step 5: Solve for x
    x = 12,139.31/90.10
  6. Step 6: Final answer
    x = 134.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.