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Finding the Fourth Proportional to 99.98, 138 and 85.16

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Solution

The fourth proportional to 99.98, 138 and 85.16 is: 117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.98 : 138 = 85.16 : x
  2. Step 2: Convert to fraction form
    99.98/138 = 85.16/x
  3. Step 3: Cross multiply
    99.98x = 138 × 85.16
  4. Step 4: Simplify right side
    99.98x = 11,752.08
  5. Step 5: Solve for x
    x = 11,752.08/99.98
  6. Step 6: Final answer
    x = 117.54

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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.