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Finding the Fourth Proportional to 99.12, 136.82 and 64.14

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Solution

The fourth proportional to 99.12, 136.82 and 64.14 is: 88.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.12 : 136.82 = 64.14 : x
  2. Step 2: Convert to fraction form
    99.12/136.82 = 64.14/x
  3. Step 3: Cross multiply
    99.12x = 136.82 × 64.14
  4. Step 4: Simplify right side
    99.12x = 8,775.63
  5. Step 5: Solve for x
    x = 8,775.63/99.12
  6. Step 6: Final answer
    x = 88.54

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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.