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Finding the Fourth Proportional to 114.83, 158.48 and 87.15

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Solution

The fourth proportional to 114.83, 158.48 and 87.15 is: 120.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.83 : 158.48 = 87.15 : x
  2. Step 2: Convert to fraction form
    114.83/158.48 = 87.15/x
  3. Step 3: Cross multiply
    114.83x = 158.48 × 87.15
  4. Step 4: Simplify right side
    114.83x = 13,811.10
  5. Step 5: Solve for x
    x = 13,811.10/114.83
  6. Step 6: Final answer
    x = 120.28

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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.