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Finding the Fourth Proportional to 98.77, 136.16 and 69.22

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Solution

The fourth proportional to 98.77, 136.16 and 69.22 is: 95.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.77 : 136.16 = 69.22 : x
  2. Step 2: Convert to fraction form
    98.77/136.16 = 69.22/x
  3. Step 3: Cross multiply
    98.77x = 136.16 × 69.22
  4. Step 4: Simplify right side
    98.77x = 9,425.00
  5. Step 5: Solve for x
    x = 9,425.00/98.77
  6. Step 6: Final answer
    x = 95.42

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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.