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Finding the Fourth Proportional to 102.72, 155.28 and 100.32

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Solution

The fourth proportional to 102.72, 155.28 and 100.32 is: 151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.72 : 155.28 = 100.32 : x
  2. Step 2: Convert to fraction form
    102.72/155.28 = 100.32/x
  3. Step 3: Cross multiply
    102.72x = 155.28 × 100.32
  4. Step 4: Simplify right side
    102.72x = 15,577.69
  5. Step 5: Solve for x
    x = 15,577.69/102.72
  6. Step 6: Final answer
    x = 151.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.