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Finding the Fourth Proportional to 83.07, 114.63 and 51.55

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Solution

The fourth proportional to 83.07, 114.63 and 51.55 is: 71.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.07 : 114.63 = 51.55 : x
  2. Step 2: Convert to fraction form
    83.07/114.63 = 51.55/x
  3. Step 3: Cross multiply
    83.07x = 114.63 × 51.55
  4. Step 4: Simplify right side
    83.07x = 5,909.59
  5. Step 5: Solve for x
    x = 5,909.59/83.07
  6. Step 6: Final answer
    x = 71.14

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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.