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Finding the Fourth Proportional to 94.86, 130.77 and 85.14

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Solution

The fourth proportional to 94.86, 130.77 and 85.14 is: 117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.86 : 130.77 = 85.14 : x
  2. Step 2: Convert to fraction form
    94.86/130.77 = 85.14/x
  3. Step 3: Cross multiply
    94.86x = 130.77 × 85.14
  4. Step 4: Simplify right side
    94.86x = 11,133.76
  5. Step 5: Solve for x
    x = 11,133.76/94.86
  6. Step 6: Final answer
    x = 117.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.