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Finding the Fourth Proportional to 80.60, 111.14 and 64.20

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Solution

The fourth proportional to 80.60, 111.14 and 64.20 is: 88.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.60 : 111.14 = 64.20 : x
  2. Step 2: Convert to fraction form
    80.60/111.14 = 64.20/x
  3. Step 3: Cross multiply
    80.60x = 111.14 × 64.20
  4. Step 4: Simplify right side
    80.60x = 7,135.19
  5. Step 5: Solve for x
    x = 7,135.19/80.60
  6. Step 6: Final answer
    x = 88.53

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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.