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Finding the Fourth Proportional to 114.81, 171.75 and 78.66

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Solution

The fourth proportional to 114.81, 171.75 and 78.66 is: 117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.81 : 171.75 = 78.66 : x
  2. Step 2: Convert to fraction form
    114.81/171.75 = 78.66/x
  3. Step 3: Cross multiply
    114.81x = 171.75 × 78.66
  4. Step 4: Simplify right side
    114.81x = 13,509.86
  5. Step 5: Solve for x
    x = 13,509.86/114.81
  6. Step 6: Final answer
    x = 117.67

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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.