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Finding the Fourth Proportional to 71.14, 106.70 and 19.77

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Solution

The fourth proportional to 71.14, 106.70 and 19.77 is: 29.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.14 : 106.70 = 19.77 : x
  2. Step 2: Convert to fraction form
    71.14/106.70 = 19.77/x
  3. Step 3: Cross multiply
    71.14x = 106.70 × 19.77
  4. Step 4: Simplify right side
    71.14x = 2,109.76
  5. Step 5: Solve for x
    x = 2,109.76/71.14
  6. Step 6: Final answer
    x = 29.66

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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.