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Finding the Fourth Proportional to 45.57, 62.90 and 31.04

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Solution

The fourth proportional to 45.57, 62.90 and 31.04 is: 42.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.57 : 62.90 = 31.04 : x
  2. Step 2: Convert to fraction form
    45.57/62.90 = 31.04/x
  3. Step 3: Cross multiply
    45.57x = 62.90 × 31.04
  4. Step 4: Simplify right side
    45.57x = 1,952.42
  5. Step 5: Solve for x
    x = 1,952.42/45.57
  6. Step 6: Final answer
    x = 42.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.