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Finding the Fourth Proportional to 81.60, 112.66 and 54.02

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Solution

The fourth proportional to 81.60, 112.66 and 54.02 is: 74.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.60 : 112.66 = 54.02 : x
  2. Step 2: Convert to fraction form
    81.60/112.66 = 54.02/x
  3. Step 3: Cross multiply
    81.60x = 112.66 × 54.02
  4. Step 4: Simplify right side
    81.60x = 6,085.89
  5. Step 5: Solve for x
    x = 6,085.89/81.60
  6. Step 6: Final answer
    x = 74.58

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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.