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Finding the Fourth Proportional to 100.66, 138 and 98.84

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Solution

The fourth proportional to 100.66, 138 and 98.84 is: 135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.66 : 138 = 98.84 : x
  2. Step 2: Convert to fraction form
    100.66/138 = 98.84/x
  3. Step 3: Cross multiply
    100.66x = 138 × 98.84
  4. Step 4: Simplify right side
    100.66x = 13,639.23
  5. Step 5: Solve for x
    x = 13,639.23/100.66
  6. Step 6: Final answer
    x = 135.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.