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Finding the Fourth Proportional to 115.49, 159.31 and 74.00

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Solution

The fourth proportional to 115.49, 159.31 and 74.00 is: 102.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.49 : 159.31 = 74.00 : x
  2. Step 2: Convert to fraction form
    115.49/159.31 = 74.00/x
  3. Step 3: Cross multiply
    115.49x = 159.31 × 74.00
  4. Step 4: Simplify right side
    115.49x = 11,788.14
  5. Step 5: Solve for x
    x = 11,788.14/115.49
  6. Step 6: Final answer
    x = 102.08

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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.