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Finding the Fourth Proportional to 128.07, 191.68 and 97.47

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Solution

The fourth proportional to 128.07, 191.68 and 97.47 is: 145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.07 : 191.68 = 97.47 : x
  2. Step 2: Convert to fraction form
    128.07/191.68 = 97.47/x
  3. Step 3: Cross multiply
    128.07x = 191.68 × 97.47
  4. Step 4: Simplify right side
    128.07x = 18,682.81
  5. Step 5: Solve for x
    x = 18,682.81/128.07
  6. Step 6: Final answer
    x = 145.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.