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Finding the Fourth Proportional to 55.52, 75.96 and 55.30

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Solution

The fourth proportional to 55.52, 75.96 and 55.30 is: 75.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.52 : 75.96 = 55.30 : x
  2. Step 2: Convert to fraction form
    55.52/75.96 = 55.30/x
  3. Step 3: Cross multiply
    55.52x = 75.96 × 55.30
  4. Step 4: Simplify right side
    55.52x = 4,200.59
  5. Step 5: Solve for x
    x = 4,200.59/55.52
  6. Step 6: Final answer
    x = 75.66

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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.