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Finding the Fourth Proportional to 115.01, 158.64 and 77.69

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Solution

The fourth proportional to 115.01, 158.64 and 77.69 is: 107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.01 : 158.64 = 77.69 : x
  2. Step 2: Convert to fraction form
    115.01/158.64 = 77.69/x
  3. Step 3: Cross multiply
    115.01x = 158.64 × 77.69
  4. Step 4: Simplify right side
    115.01x = 12,323.95
  5. Step 5: Solve for x
    x = 12,323.95/115.01
  6. Step 6: Final answer
    x = 107.16

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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.