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Finding the Fourth Proportional to 42.75, 64.13 and 10.69

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Solution

The fourth proportional to 42.75, 64.13 and 10.69 is: 16.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.75 : 64.13 = 10.69 : x
  2. Step 2: Convert to fraction form
    42.75/64.13 = 10.69/x
  3. Step 3: Cross multiply
    42.75x = 64.13 × 10.69
  4. Step 4: Simplify right side
    42.75x = 685.34
  5. Step 5: Solve for x
    x = 685.34/42.75
  6. Step 6: Final answer
    x = 16.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.