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Finding the Fourth Proportional to 151.40, 208.68 and 99.56

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Solution

The fourth proportional to 151.40, 208.68 and 99.56 is: 137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.40 : 208.68 = 99.56 : x
  2. Step 2: Convert to fraction form
    151.40/208.68 = 99.56/x
  3. Step 3: Cross multiply
    151.40x = 208.68 × 99.56
  4. Step 4: Simplify right side
    151.40x = 20,776.18
  5. Step 5: Solve for x
    x = 20,776.18/151.40
  6. Step 6: Final answer
    x = 137.23

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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.