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Finding the Fourth Proportional to 128.40, 191.72 and 102.44

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Solution

The fourth proportional to 128.40, 191.72 and 102.44 is: 152.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.40 : 191.72 = 102.44 : x
  2. Step 2: Convert to fraction form
    128.40/191.72 = 102.44/x
  3. Step 3: Cross multiply
    128.40x = 191.72 × 102.44
  4. Step 4: Simplify right side
    128.40x = 19,639.80
  5. Step 5: Solve for x
    x = 19,639.80/128.40
  6. Step 6: Final answer
    x = 152.96

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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.