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Finding the Fourth Proportional to 98.64, 146.82 and 96.08

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Solution

The fourth proportional to 98.64, 146.82 and 96.08 is: 143.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.64 : 146.82 = 96.08 : x
  2. Step 2: Convert to fraction form
    98.64/146.82 = 96.08/x
  3. Step 3: Cross multiply
    98.64x = 146.82 × 96.08
  4. Step 4: Simplify right side
    98.64x = 14,106.47
  5. Step 5: Solve for x
    x = 14,106.47/98.64
  6. Step 6: Final answer
    x = 143.01

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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.