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Finding the Fourth Proportional to 138.01, 206.98 and 46.71

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Solution

The fourth proportional to 138.01, 206.98 and 46.71 is: 70.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.01 : 206.98 = 46.71 : x
  2. Step 2: Convert to fraction form
    138.01/206.98 = 46.71/x
  3. Step 3: Cross multiply
    138.01x = 206.98 × 46.71
  4. Step 4: Simplify right side
    138.01x = 9,668.04
  5. Step 5: Solve for x
    x = 9,668.04/138.01
  6. Step 6: Final answer
    x = 70.05

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