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Finding the Fourth Proportional to 71.02, 106.36 and 53.86

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Solution

The fourth proportional to 71.02, 106.36 and 53.86 is: 80.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.02 : 106.36 = 53.86 : x
  2. Step 2: Convert to fraction form
    71.02/106.36 = 53.86/x
  3. Step 3: Cross multiply
    71.02x = 106.36 × 53.86
  4. Step 4: Simplify right side
    71.02x = 5,728.15
  5. Step 5: Solve for x
    x = 5,728.15/71.02
  6. Step 6: Final answer
    x = 80.66

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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.