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Finding the Fourth Proportional to 115.79, 159.77 and 74.35

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Solution

The fourth proportional to 115.79, 159.77 and 74.35 is: 102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.79 : 159.77 = 74.35 : x
  2. Step 2: Convert to fraction form
    115.79/159.77 = 74.35/x
  3. Step 3: Cross multiply
    115.79x = 159.77 × 74.35
  4. Step 4: Simplify right side
    115.79x = 11,878.13
  5. Step 5: Solve for x
    x = 11,878.13/115.79
  6. Step 6: Final answer
    x = 102.59

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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.