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Finding the Fourth Proportional to 99.98, 138.24 and 89.06

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Solution

The fourth proportional to 99.98, 138.24 and 89.06 is: 123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.98 : 138.24 = 89.06 : x
  2. Step 2: Convert to fraction form
    99.98/138.24 = 89.06/x
  3. Step 3: Cross multiply
    99.98x = 138.24 × 89.06
  4. Step 4: Simplify right side
    99.98x = 12,311.65
  5. Step 5: Solve for x
    x = 12,311.65/99.98
  6. Step 6: Final answer
    x = 123.14

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