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Finding the Fourth Proportional to 61.04, 84.15 and 51.80

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Solution

The fourth proportional to 61.04, 84.15 and 51.80 is: 71.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.04 : 84.15 = 51.80 : x
  2. Step 2: Convert to fraction form
    61.04/84.15 = 51.80/x
  3. Step 3: Cross multiply
    61.04x = 84.15 × 51.80
  4. Step 4: Simplify right side
    61.04x = 4,358.55
  5. Step 5: Solve for x
    x = 4,358.55/61.04
  6. Step 6: Final answer
    x = 71.41

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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.