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Finding the Fourth Proportional to 71.46, 106.96 and 53.50

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Solution

The fourth proportional to 71.46, 106.96 and 53.50 is: 80.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.46 : 106.96 = 53.50 : x
  2. Step 2: Convert to fraction form
    71.46/106.96 = 53.50/x
  3. Step 3: Cross multiply
    71.46x = 106.96 × 53.50
  4. Step 4: Simplify right side
    71.46x = 5,722.36
  5. Step 5: Solve for x
    x = 5,722.36/71.46
  6. Step 6: Final answer
    x = 80.08

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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.