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Finding the Fourth Proportional to 114.90, 158.50 and 78.11

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Solution

The fourth proportional to 114.90, 158.50 and 78.11 is: 107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.90 : 158.50 = 78.11 : x
  2. Step 2: Convert to fraction form
    114.90/158.50 = 78.11/x
  3. Step 3: Cross multiply
    114.90x = 158.50 × 78.11
  4. Step 4: Simplify right side
    114.90x = 12,379.84
  5. Step 5: Solve for x
    x = 12,379.84/114.90
  6. Step 6: Final answer
    x = 107.75

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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.