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Finding the Fourth Proportional to 98.56, 148 and 77.36

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Solution

The fourth proportional to 98.56, 148 and 77.36 is: 116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.56 : 148 = 77.36 : x
  2. Step 2: Convert to fraction form
    98.56/148 = 77.36/x
  3. Step 3: Cross multiply
    98.56x = 148 × 77.36
  4. Step 4: Simplify right side
    98.56x = 11,449.28
  5. Step 5: Solve for x
    x = 11,449.28/98.56
  6. Step 6: Final answer
    x = 116.17

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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.