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Finding the Fourth Proportional to 83.01, 114.57 and 53.95

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Solution

The fourth proportional to 83.01, 114.57 and 53.95 is: 74.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.01 : 114.57 = 53.95 : x
  2. Step 2: Convert to fraction form
    83.01/114.57 = 53.95/x
  3. Step 3: Cross multiply
    83.01x = 114.57 × 53.95
  4. Step 4: Simplify right side
    83.01x = 6,180.78
  5. Step 5: Solve for x
    x = 6,180.78/83.01
  6. Step 6: Final answer
    x = 74.46

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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.