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Finding the Fourth Proportional to 80.88, 121.14 and 46.53

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Solution

The fourth proportional to 80.88, 121.14 and 46.53 is: 69.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.88 : 121.14 = 46.53 : x
  2. Step 2: Convert to fraction form
    80.88/121.14 = 46.53/x
  3. Step 3: Cross multiply
    80.88x = 121.14 × 46.53
  4. Step 4: Simplify right side
    80.88x = 5,636.64
  5. Step 5: Solve for x
    x = 5,636.64/80.88
  6. Step 6: Final answer
    x = 69.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.