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Finding the Fourth Proportional to 95.15, 142.51 and 70.81

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Solution

The fourth proportional to 95.15, 142.51 and 70.81 is: 106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.15 : 142.51 = 70.81 : x
  2. Step 2: Convert to fraction form
    95.15/142.51 = 70.81/x
  3. Step 3: Cross multiply
    95.15x = 142.51 × 70.81
  4. Step 4: Simplify right side
    95.15x = 10,091.13
  5. Step 5: Solve for x
    x = 10,091.13/95.15
  6. Step 6: Final answer
    x = 106.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.