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Finding the Fourth Proportional to 169.47, 254.19 and 101.42

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Solution

The fourth proportional to 169.47, 254.19 and 101.42 is: 152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.47 : 254.19 = 101.42 : x
  2. Step 2: Convert to fraction form
    169.47/254.19 = 101.42/x
  3. Step 3: Cross multiply
    169.47x = 254.19 × 101.42
  4. Step 4: Simplify right side
    169.47x = 25,779.44
  5. Step 5: Solve for x
    x = 25,779.44/169.47
  6. Step 6: Final answer
    x = 152.12

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