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Finding the Fourth Proportional to 69.04, 103.12 and 56.88

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Solution

The fourth proportional to 69.04, 103.12 and 56.88 is: 84.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.04 : 103.12 = 56.88 : x
  2. Step 2: Convert to fraction form
    69.04/103.12 = 56.88/x
  3. Step 3: Cross multiply
    69.04x = 103.12 × 56.88
  4. Step 4: Simplify right side
    69.04x = 5,865.47
  5. Step 5: Solve for x
    x = 5,865.47/69.04
  6. Step 6: Final answer
    x = 84.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.