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Finding the Fourth Proportional to 102.72, 153.30 and 97.04

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Solution

The fourth proportional to 102.72, 153.30 and 97.04 is: 144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.72 : 153.30 = 97.04 : x
  2. Step 2: Convert to fraction form
    102.72/153.30 = 97.04/x
  3. Step 3: Cross multiply
    102.72x = 153.30 × 97.04
  4. Step 4: Simplify right side
    102.72x = 14,876.23
  5. Step 5: Solve for x
    x = 14,876.23/102.72
  6. Step 6: Final answer
    x = 144.82

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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.