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Finding the Fourth Proportional to 55.23, 76.07 and 55.10

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Solution

The fourth proportional to 55.23, 76.07 and 55.10 is: 75.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.23 : 76.07 = 55.10 : x
  2. Step 2: Convert to fraction form
    55.23/76.07 = 55.10/x
  3. Step 3: Cross multiply
    55.23x = 76.07 × 55.10
  4. Step 4: Simplify right side
    55.23x = 4,190.80
  5. Step 5: Solve for x
    x = 4,190.80/55.23
  6. Step 6: Final answer
    x = 75.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.