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Finding the Fourth Proportional to 158.86, 219.24 and 100.78

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Solution

The fourth proportional to 158.86, 219.24 and 100.78 is: 139.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.86 : 219.24 = 100.78 : x
  2. Step 2: Convert to fraction form
    158.86/219.24 = 100.78/x
  3. Step 3: Cross multiply
    158.86x = 219.24 × 100.78
  4. Step 4: Simplify right side
    158.86x = 22,095.01
  5. Step 5: Solve for x
    x = 22,095.01/158.86
  6. Step 6: Final answer
    x = 139.08

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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.