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Finding the Fourth Proportional to 102.06, 153.10 and 72.66

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Solution

The fourth proportional to 102.06, 153.10 and 72.66 is: 108.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.06 : 153.10 = 72.66 : x
  2. Step 2: Convert to fraction form
    102.06/153.10 = 72.66/x
  3. Step 3: Cross multiply
    102.06x = 153.10 × 72.66
  4. Step 4: Simplify right side
    102.06x = 11,124.06
  5. Step 5: Solve for x
    x = 11,124.06/102.06
  6. Step 6: Final answer
    x = 108.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.