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Finding the Fourth Proportional to 151.32, 208.80 and 89.14

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Solution

The fourth proportional to 151.32, 208.80 and 89.14 is: 123.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.32 : 208.80 = 89.14 : x
  2. Step 2: Convert to fraction form
    151.32/208.80 = 89.14/x
  3. Step 3: Cross multiply
    151.32x = 208.80 × 89.14
  4. Step 4: Simplify right side
    151.32x = 18,612.43
  5. Step 5: Solve for x
    x = 18,612.43/151.32
  6. Step 6: Final answer
    x = 123.00

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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.