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Finding the Fourth Proportional to 115.84, 159.83 and 77

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Solution

The fourth proportional to 115.84, 159.83 and 77 is: 106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.84 : 159.83 = 77 : x
  2. Step 2: Convert to fraction form
    115.84/159.83 = 77/x
  3. Step 3: Cross multiply
    115.84x = 159.83 × 77
  4. Step 4: Simplify right side
    115.84x = 12,306.91
  5. Step 5: Solve for x
    x = 12,306.91/115.84
  6. Step 6: Final answer
    x = 106.25

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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.