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Finding the Fourth Proportional to 128.86, 177.76 and 85.15

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Solution

The fourth proportional to 128.86, 177.76 and 85.15 is: 117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.86 : 177.76 = 85.15 : x
  2. Step 2: Convert to fraction form
    128.86/177.76 = 85.15/x
  3. Step 3: Cross multiply
    128.86x = 177.76 × 85.15
  4. Step 4: Simplify right side
    128.86x = 15,136.26
  5. Step 5: Solve for x
    x = 15,136.26/128.86
  6. Step 6: Final answer
    x = 117.46

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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.