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Finding the Fourth Proportional to 69.29, 103.04 and 64.13

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Solution

The fourth proportional to 69.29, 103.04 and 64.13 is: 95.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.29 : 103.04 = 64.13 : x
  2. Step 2: Convert to fraction form
    69.29/103.04 = 64.13/x
  3. Step 3: Cross multiply
    69.29x = 103.04 × 64.13
  4. Step 4: Simplify right side
    69.29x = 6,607.36
  5. Step 5: Solve for x
    x = 6,607.36/69.29
  6. Step 6: Final answer
    x = 95.36

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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.