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Finding the Fourth Proportional to 45.43, 62.71 and 30.89

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Solution

The fourth proportional to 45.43, 62.71 and 30.89 is: 42.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.43 : 62.71 = 30.89 : x
  2. Step 2: Convert to fraction form
    45.43/62.71 = 30.89/x
  3. Step 3: Cross multiply
    45.43x = 62.71 × 30.89
  4. Step 4: Simplify right side
    45.43x = 1,937.19
  5. Step 5: Solve for x
    x = 1,937.19/45.43
  6. Step 6: Final answer
    x = 42.64

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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.