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Finding the Fourth Proportional to 111.68, 153.80 and 106.80

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Solution

The fourth proportional to 111.68, 153.80 and 106.80 is: 147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.68 : 153.80 = 106.80 : x
  2. Step 2: Convert to fraction form
    111.68/153.80 = 106.80/x
  3. Step 3: Cross multiply
    111.68x = 153.80 × 106.80
  4. Step 4: Simplify right side
    111.68x = 16,425.84
  5. Step 5: Solve for x
    x = 16,425.84/111.68
  6. Step 6: Final answer
    x = 147.08

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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.