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Finding the Fourth Proportional to 153.88, 212.25 and 95.56

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Solution

The fourth proportional to 153.88, 212.25 and 95.56 is: 131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.88 : 212.25 = 95.56 : x
  2. Step 2: Convert to fraction form
    153.88/212.25 = 95.56/x
  3. Step 3: Cross multiply
    153.88x = 212.25 × 95.56
  4. Step 4: Simplify right side
    153.88x = 20,282.61
  5. Step 5: Solve for x
    x = 20,282.61/153.88
  6. Step 6: Final answer
    x = 131.81

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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.