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Finding the Fourth Proportional to 143.72, 198.50 and 99.53

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Solution

The fourth proportional to 143.72, 198.50 and 99.53 is: 137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.72 : 198.50 = 99.53 : x
  2. Step 2: Convert to fraction form
    143.72/198.50 = 99.53/x
  3. Step 3: Cross multiply
    143.72x = 198.50 × 99.53
  4. Step 4: Simplify right side
    143.72x = 19,756.71
  5. Step 5: Solve for x
    x = 19,756.71/143.72
  6. Step 6: Final answer
    x = 137.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.