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Finding the Fourth Proportional to 98.07, 134.16 and 90.78

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Solution

The fourth proportional to 98.07, 134.16 and 90.78 is: 124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.07 : 134.16 = 90.78 : x
  2. Step 2: Convert to fraction form
    98.07/134.16 = 90.78/x
  3. Step 3: Cross multiply
    98.07x = 134.16 × 90.78
  4. Step 4: Simplify right side
    98.07x = 12,179.04
  5. Step 5: Solve for x
    x = 12,179.04/98.07
  6. Step 6: Final answer
    x = 124.19

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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.