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Finding the Fourth Proportional to 115.06, 159.06 and 102.10

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Solution

The fourth proportional to 115.06, 159.06 and 102.10 is: 141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.06 : 159.06 = 102.10 : x
  2. Step 2: Convert to fraction form
    115.06/159.06 = 102.10/x
  3. Step 3: Cross multiply
    115.06x = 159.06 × 102.10
  4. Step 4: Simplify right side
    115.06x = 16,240.03
  5. Step 5: Solve for x
    x = 16,240.03/115.06
  6. Step 6: Final answer
    x = 141.14

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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.