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Finding the Fourth Proportional to 71.07, 106.53 and 22.96

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Solution

The fourth proportional to 71.07, 106.53 and 22.96 is: 34.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.07 : 106.53 = 22.96 : x
  2. Step 2: Convert to fraction form
    71.07/106.53 = 22.96/x
  3. Step 3: Cross multiply
    71.07x = 106.53 × 22.96
  4. Step 4: Simplify right side
    71.07x = 2,445.93
  5. Step 5: Solve for x
    x = 2,445.93/71.07
  6. Step 6: Final answer
    x = 34.42

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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.