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Finding the Fourth Proportional to 86.40, 114.71 and 86.40

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Solution

The fourth proportional to 86.40, 114.71 and 86.40 is: 114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.40 : 114.71 = 86.40 : x
  2. Step 2: Convert to fraction form
    86.40/114.71 = 86.40/x
  3. Step 3: Cross multiply
    86.40x = 114.71 × 86.40
  4. Step 4: Simplify right side
    86.40x = 9,910.51
  5. Step 5: Solve for x
    x = 9,910.51/86.40
  6. Step 6: Final answer
    x = 114.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.