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Finding the Fourth Proportional to 114.10, 170.35 and 95.87

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Solution

The fourth proportional to 114.10, 170.35 and 95.87 is: 143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.10 : 170.35 = 95.87 : x
  2. Step 2: Convert to fraction form
    114.10/170.35 = 95.87/x
  3. Step 3: Cross multiply
    114.10x = 170.35 × 95.87
  4. Step 4: Simplify right side
    114.10x = 16,331.64
  5. Step 5: Solve for x
    x = 16,331.64/114.10
  6. Step 6: Final answer
    x = 143.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.