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Finding the Fourth Proportional to 434.75, 652.11 and 110.11

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Solution

The fourth proportional to 434.75, 652.11 and 110.11 is: 165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.75 : 652.11 = 110.11 : x
  2. Step 2: Convert to fraction form
    434.75/652.11 = 110.11/x
  3. Step 3: Cross multiply
    434.75x = 652.11 × 110.11
  4. Step 4: Simplify right side
    434.75x = 71,803.83
  5. Step 5: Solve for x
    x = 71,803.83/434.75
  6. Step 6: Final answer
    x = 165.16

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Why These Related Problems?

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