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Finding the Fourth Proportional to 98.68, 148 and 26.55

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Solution

The fourth proportional to 98.68, 148 and 26.55 is: 39.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.68 : 148 = 26.55 : x
  2. Step 2: Convert to fraction form
    98.68/148 = 26.55/x
  3. Step 3: Cross multiply
    98.68x = 148 × 26.55
  4. Step 4: Simplify right side
    98.68x = 3,929.40
  5. Step 5: Solve for x
    x = 3,929.40/98.68
  6. Step 6: Final answer
    x = 39.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.