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Finding the Fourth Proportional to 115.19, 158.62 and 102.56

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Solution

The fourth proportional to 115.19, 158.62 and 102.56 is: 141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.19 : 158.62 = 102.56 : x
  2. Step 2: Convert to fraction form
    115.19/158.62 = 102.56/x
  3. Step 3: Cross multiply
    115.19x = 158.62 × 102.56
  4. Step 4: Simplify right side
    115.19x = 16,268.07
  5. Step 5: Solve for x
    x = 16,268.07/115.19
  6. Step 6: Final answer
    x = 141.23

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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.