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Finding the Fourth Proportional to 110.76, 153.17 and 105.93

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Solution

The fourth proportional to 110.76, 153.17 and 105.93 is: 146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.76 : 153.17 = 105.93 : x
  2. Step 2: Convert to fraction form
    110.76/153.17 = 105.93/x
  3. Step 3: Cross multiply
    110.76x = 153.17 × 105.93
  4. Step 4: Simplify right side
    110.76x = 16,225.30
  5. Step 5: Solve for x
    x = 16,225.30/110.76
  6. Step 6: Final answer
    x = 146.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.