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Finding the Fourth Proportional to 106.54, 159.74 and 52.42

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Solution

The fourth proportional to 106.54, 159.74 and 52.42 is: 78.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.54 : 159.74 = 52.42 : x
  2. Step 2: Convert to fraction form
    106.54/159.74 = 52.42/x
  3. Step 3: Cross multiply
    106.54x = 159.74 × 52.42
  4. Step 4: Simplify right side
    106.54x = 8,373.57
  5. Step 5: Solve for x
    x = 8,373.57/106.54
  6. Step 6: Final answer
    x = 78.60

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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.