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Finding the Fourth Proportional to 47.49, 65.49 and 31.10

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Solution

The fourth proportional to 47.49, 65.49 and 31.10 is: 42.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.49 : 65.49 = 31.10 : x
  2. Step 2: Convert to fraction form
    47.49/65.49 = 31.10/x
  3. Step 3: Cross multiply
    47.49x = 65.49 × 31.10
  4. Step 4: Simplify right side
    47.49x = 2,036.41
  5. Step 5: Solve for x
    x = 2,036.41/47.49
  6. Step 6: Final answer
    x = 42.88

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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.