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Finding the Fourth Proportional to 90.35, 134.91 and 74.13

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Solution

The fourth proportional to 90.35, 134.91 and 74.13 is: 110.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.35 : 134.91 = 74.13 : x
  2. Step 2: Convert to fraction form
    90.35/134.91 = 74.13/x
  3. Step 3: Cross multiply
    90.35x = 134.91 × 74.13
  4. Step 4: Simplify right side
    90.35x = 10,000.88
  5. Step 5: Solve for x
    x = 10,000.88/90.35
  6. Step 6: Final answer
    x = 110.70

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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.