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Finding the Fourth Proportional to 114.35, 157.93 and 86.69

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Solution

The fourth proportional to 114.35, 157.93 and 86.69 is: 119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.35 : 157.93 = 86.69 : x
  2. Step 2: Convert to fraction form
    114.35/157.93 = 86.69/x
  3. Step 3: Cross multiply
    114.35x = 157.93 × 86.69
  4. Step 4: Simplify right side
    114.35x = 13,691.13
  5. Step 5: Solve for x
    x = 13,691.13/114.35
  6. Step 6: Final answer
    x = 119.74

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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.