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Finding the Fourth Proportional to 98.58, 135.88 and 87.66

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Solution

The fourth proportional to 98.58, 135.88 and 87.66 is: 120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.58 : 135.88 = 87.66 : x
  2. Step 2: Convert to fraction form
    98.58/135.88 = 87.66/x
  3. Step 3: Cross multiply
    98.58x = 135.88 × 87.66
  4. Step 4: Simplify right side
    98.58x = 11,911.24
  5. Step 5: Solve for x
    x = 11,911.24/98.58
  6. Step 6: Final answer
    x = 120.83

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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.