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Finding the Fourth Proportional to 47.61, 65.70 and 29.19

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Solution

The fourth proportional to 47.61, 65.70 and 29.19 is: 40.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.61 : 65.70 = 29.19 : x
  2. Step 2: Convert to fraction form
    47.61/65.70 = 29.19/x
  3. Step 3: Cross multiply
    47.61x = 65.70 × 29.19
  4. Step 4: Simplify right side
    47.61x = 1,917.78
  5. Step 5: Solve for x
    x = 1,917.78/47.61
  6. Step 6: Final answer
    x = 40.28

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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.