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Finding the Fourth Proportional to 81.58, 112.32 and 74.20

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Solution

The fourth proportional to 81.58, 112.32 and 74.20 is: 102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.58 : 112.32 = 74.20 : x
  2. Step 2: Convert to fraction form
    81.58/112.32 = 74.20/x
  3. Step 3: Cross multiply
    81.58x = 112.32 × 74.20
  4. Step 4: Simplify right side
    81.58x = 8,334.14
  5. Step 5: Solve for x
    x = 8,334.14/81.58
  6. Step 6: Final answer
    x = 102.16

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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.