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Finding the Fourth Proportional to 115.83, 159.57 and 95.04

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Solution

The fourth proportional to 115.83, 159.57 and 95.04 is: 130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.83 : 159.57 = 95.04 : x
  2. Step 2: Convert to fraction form
    115.83/159.57 = 95.04/x
  3. Step 3: Cross multiply
    115.83x = 159.57 × 95.04
  4. Step 4: Simplify right side
    115.83x = 15,165.53
  5. Step 5: Solve for x
    x = 15,165.53/115.83
  6. Step 6: Final answer
    x = 130.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.