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Finding the Fourth Proportional to 128.12, 191.49 and 117.87

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Solution

The fourth proportional to 128.12, 191.49 and 117.87 is: 176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.12 : 191.49 = 117.87 : x
  2. Step 2: Convert to fraction form
    128.12/191.49 = 117.87/x
  3. Step 3: Cross multiply
    128.12x = 191.49 × 117.87
  4. Step 4: Simplify right side
    128.12x = 22,570.93
  5. Step 5: Solve for x
    x = 22,570.93/128.12
  6. Step 6: Final answer
    x = 176.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.