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Finding the Fourth Proportional to 102.78, 153.14 and 101.43

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Solution

The fourth proportional to 102.78, 153.14 and 101.43 is: 151.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.78 : 153.14 = 101.43 : x
  2. Step 2: Convert to fraction form
    102.78/153.14 = 101.43/x
  3. Step 3: Cross multiply
    102.78x = 153.14 × 101.43
  4. Step 4: Simplify right side
    102.78x = 15,532.48
  5. Step 5: Solve for x
    x = 15,532.48/102.78
  6. Step 6: Final answer
    x = 151.12

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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.