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Finding the Fourth Proportional to 90.34, 135.20 and 49.70

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Solution

The fourth proportional to 90.34, 135.20 and 49.70 is: 74.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.34 : 135.20 = 49.70 : x
  2. Step 2: Convert to fraction form
    90.34/135.20 = 49.70/x
  3. Step 3: Cross multiply
    90.34x = 135.20 × 49.70
  4. Step 4: Simplify right side
    90.34x = 6,719.44
  5. Step 5: Solve for x
    x = 6,719.44/90.34
  6. Step 6: Final answer
    x = 74.38

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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.