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Finding the Fourth Proportional to 110.19, 152.06 and 61.07

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Solution

The fourth proportional to 110.19, 152.06 and 61.07 is: 84.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.19 : 152.06 = 61.07 : x
  2. Step 2: Convert to fraction form
    110.19/152.06 = 61.07/x
  3. Step 3: Cross multiply
    110.19x = 152.06 × 61.07
  4. Step 4: Simplify right side
    110.19x = 9,286.05
  5. Step 5: Solve for x
    x = 9,286.05/110.19
  6. Step 6: Final answer
    x = 84.28

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Why These Related Problems?

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