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Finding the Fourth Proportional to 138.08, 207.04 and 65.84

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Solution

The fourth proportional to 138.08, 207.04 and 65.84 is: 98.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.08 : 207.04 = 65.84 : x
  2. Step 2: Convert to fraction form
    138.08/207.04 = 65.84/x
  3. Step 3: Cross multiply
    138.08x = 207.04 × 65.84
  4. Step 4: Simplify right side
    138.08x = 13,631.51
  5. Step 5: Solve for x
    x = 13,631.51/138.08
  6. Step 6: Final answer
    x = 98.72

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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.