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Finding the Fourth Proportional to 71.02, 106.35 and 52.96

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Solution

The fourth proportional to 71.02, 106.35 and 52.96 is: 79.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.02 : 106.35 = 52.96 : x
  2. Step 2: Convert to fraction form
    71.02/106.35 = 52.96/x
  3. Step 3: Cross multiply
    71.02x = 106.35 × 52.96
  4. Step 4: Simplify right side
    71.02x = 5,632.30
  5. Step 5: Solve for x
    x = 5,632.30/71.02
  6. Step 6: Final answer
    x = 79.31

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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.