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Finding the Fourth Proportional to 98.32, 146.57 and 96.76

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Solution

The fourth proportional to 98.32, 146.57 and 96.76 is: 144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.32 : 146.57 = 96.76 : x
  2. Step 2: Convert to fraction form
    98.32/146.57 = 96.76/x
  3. Step 3: Cross multiply
    98.32x = 146.57 × 96.76
  4. Step 4: Simplify right side
    98.32x = 14,182.11
  5. Step 5: Solve for x
    x = 14,182.11/98.32
  6. Step 6: Final answer
    x = 144.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.