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Finding the Fourth Proportional to 98.40, 135.65 and 76.53

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Solution

The fourth proportional to 98.40, 135.65 and 76.53 is: 105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.40 : 135.65 = 76.53 : x
  2. Step 2: Convert to fraction form
    98.40/135.65 = 76.53/x
  3. Step 3: Cross multiply
    98.40x = 135.65 × 76.53
  4. Step 4: Simplify right side
    98.40x = 10,380.91
  5. Step 5: Solve for x
    x = 10,380.91/98.40
  6. Step 6: Final answer
    x = 105.50

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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.