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Finding the Fourth Proportional to 80.88, 120.72 and 70.53

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Solution

The fourth proportional to 80.88, 120.72 and 70.53 is: 105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.88 : 120.72 = 70.53 : x
  2. Step 2: Convert to fraction form
    80.88/120.72 = 70.53/x
  3. Step 3: Cross multiply
    80.88x = 120.72 × 70.53
  4. Step 4: Simplify right side
    80.88x = 8,514.38
  5. Step 5: Solve for x
    x = 8,514.38/80.88
  6. Step 6: Final answer
    x = 105.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.