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Finding the Fourth Proportional to 42.86, 64.24 and 15.78

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Solution

The fourth proportional to 42.86, 64.24 and 15.78 is: 23.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.86 : 64.24 = 15.78 : x
  2. Step 2: Convert to fraction form
    42.86/64.24 = 15.78/x
  3. Step 3: Cross multiply
    42.86x = 64.24 × 15.78
  4. Step 4: Simplify right side
    42.86x = 1,013.71
  5. Step 5: Solve for x
    x = 1,013.71/42.86
  6. Step 6: Final answer
    x = 23.65

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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.