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Finding the Fourth Proportional to 99.84, 138.08 and 99.20

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Solution

The fourth proportional to 99.84, 138.08 and 99.20 is: 137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.84 : 138.08 = 99.20 : x
  2. Step 2: Convert to fraction form
    99.84/138.08 = 99.20/x
  3. Step 3: Cross multiply
    99.84x = 138.08 × 99.20
  4. Step 4: Simplify right side
    99.84x = 13,697.54
  5. Step 5: Solve for x
    x = 13,697.54/99.84
  6. Step 6: Final answer
    x = 137.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.