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Finding the Fourth Proportional to 102.87, 153.45 and 94.11

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Solution

The fourth proportional to 102.87, 153.45 and 94.11 is: 140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.87 : 153.45 = 94.11 : x
  2. Step 2: Convert to fraction form
    102.87/153.45 = 94.11/x
  3. Step 3: Cross multiply
    102.87x = 153.45 × 94.11
  4. Step 4: Simplify right side
    102.87x = 14,441.18
  5. Step 5: Solve for x
    x = 14,441.18/102.87
  6. Step 6: Final answer
    x = 140.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.