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Finding the Fourth Proportional to 69.10, 95.40 and 56.02

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Solution

The fourth proportional to 69.10, 95.40 and 56.02 is: 77.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.10 : 95.40 = 56.02 : x
  2. Step 2: Convert to fraction form
    69.10/95.40 = 56.02/x
  3. Step 3: Cross multiply
    69.10x = 95.40 × 56.02
  4. Step 4: Simplify right side
    69.10x = 5,344.31
  5. Step 5: Solve for x
    x = 5,344.31/69.10
  6. Step 6: Final answer
    x = 77.34

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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.