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Finding the Fourth Proportional to 99.65, 150.21 and 98.08

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Solution

The fourth proportional to 99.65, 150.21 and 98.08 is: 147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.65 : 150.21 = 98.08 : x
  2. Step 2: Convert to fraction form
    99.65/150.21 = 98.08/x
  3. Step 3: Cross multiply
    99.65x = 150.21 × 98.08
  4. Step 4: Simplify right side
    99.65x = 14,732.22
  5. Step 5: Solve for x
    x = 14,732.22/99.65
  6. Step 6: Final answer
    x = 147.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.