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Finding the Fourth Proportional to 42.65, 63.99 and 13.77

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Solution

The fourth proportional to 42.65, 63.99 and 13.77 is: 20.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.65 : 63.99 = 13.77 : x
  2. Step 2: Convert to fraction form
    42.65/63.99 = 13.77/x
  3. Step 3: Cross multiply
    42.65x = 63.99 × 13.77
  4. Step 4: Simplify right side
    42.65x = 880.84
  5. Step 5: Solve for x
    x = 880.84/42.65
  6. Step 6: Final answer
    x = 20.65

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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.