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Finding the Fourth Proportional to 138.57, 206.70 and 128.88

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Solution

The fourth proportional to 138.57, 206.70 and 128.88 is: 192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.57 : 206.70 = 128.88 : x
  2. Step 2: Convert to fraction form
    138.57/206.70 = 128.88/x
  3. Step 3: Cross multiply
    138.57x = 206.70 × 128.88
  4. Step 4: Simplify right side
    138.57x = 26,639.50
  5. Step 5: Solve for x
    x = 26,639.50/138.57
  6. Step 6: Final answer
    x = 192.25

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