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Finding the Fourth Proportional to 55.32, 75.80 and 54.65

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Solution

The fourth proportional to 55.32, 75.80 and 54.65 is: 74.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.32 : 75.80 = 54.65 : x
  2. Step 2: Convert to fraction form
    55.32/75.80 = 54.65/x
  3. Step 3: Cross multiply
    55.32x = 75.80 × 54.65
  4. Step 4: Simplify right side
    55.32x = 4,142.47
  5. Step 5: Solve for x
    x = 4,142.47/55.32
  6. Step 6: Final answer
    x = 74.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.