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Finding the Fourth Proportional to 138.01, 207 and 56.83

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Solution

The fourth proportional to 138.01, 207 and 56.83 is: 85.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.01 : 207 = 56.83 : x
  2. Step 2: Convert to fraction form
    138.01/207 = 56.83/x
  3. Step 3: Cross multiply
    138.01x = 207 × 56.83
  4. Step 4: Simplify right side
    138.01x = 11,763.81
  5. Step 5: Solve for x
    x = 11,763.81/138.01
  6. Step 6: Final answer
    x = 85.24

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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.