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Finding the Fourth Proportional to 99.82, 148.64 and 96.18

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Solution

The fourth proportional to 99.82, 148.64 and 96.18 is: 143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.82 : 148.64 = 96.18 : x
  2. Step 2: Convert to fraction form
    99.82/148.64 = 96.18/x
  3. Step 3: Cross multiply
    99.82x = 148.64 × 96.18
  4. Step 4: Simplify right side
    99.82x = 14,296.20
  5. Step 5: Solve for x
    x = 14,296.20/99.82
  6. Step 6: Final answer
    x = 143.22

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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.