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Finding the Fourth Proportional to 135, 202.56 and 98.76

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Solution

The fourth proportional to 135, 202.56 and 98.76 is: 148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135 : 202.56 = 98.76 : x
  2. Step 2: Convert to fraction form
    135/202.56 = 98.76/x
  3. Step 3: Cross multiply
    135x = 202.56 × 98.76
  4. Step 4: Simplify right side
    135x = 20,004.83
  5. Step 5: Solve for x
    x = 20,004.83/135
  6. Step 6: Final answer
    x = 148.18

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Why These Related Problems?

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