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Finding the Fourth Proportional to 90.48, 136.55 and 89.40

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Solution

The fourth proportional to 90.48, 136.55 and 89.40 is: 134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.48 : 136.55 = 89.40 : x
  2. Step 2: Convert to fraction form
    90.48/136.55 = 89.40/x
  3. Step 3: Cross multiply
    90.48x = 136.55 × 89.40
  4. Step 4: Simplify right side
    90.48x = 12,207.57
  5. Step 5: Solve for x
    x = 12,207.57/90.48
  6. Step 6: Final answer
    x = 134.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.