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Finding the Fourth Proportional to 138.59, 207.80 and 46.01

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Solution

The fourth proportional to 138.59, 207.80 and 46.01 is: 68.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.59 : 207.80 = 46.01 : x
  2. Step 2: Convert to fraction form
    138.59/207.80 = 46.01/x
  3. Step 3: Cross multiply
    138.59x = 207.80 × 46.01
  4. Step 4: Simplify right side
    138.59x = 9,560.13
  5. Step 5: Solve for x
    x = 9,560.13/138.59
  6. Step 6: Final answer
    x = 68.98

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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.