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Finding the Fourth Proportional to 110.16, 151.74 and 103.77

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Solution

The fourth proportional to 110.16, 151.74 and 103.77 is: 142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.16 : 151.74 = 103.77 : x
  2. Step 2: Convert to fraction form
    110.16/151.74 = 103.77/x
  3. Step 3: Cross multiply
    110.16x = 151.74 × 103.77
  4. Step 4: Simplify right side
    110.16x = 15,746.06
  5. Step 5: Solve for x
    x = 15,746.06/110.16
  6. Step 6: Final answer
    x = 142.94

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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.