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Finding the Fourth Proportional to 114.75, 172.06 and 41.61

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Solution

The fourth proportional to 114.75, 172.06 and 41.61 is: 62.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.75 : 172.06 = 41.61 : x
  2. Step 2: Convert to fraction form
    114.75/172.06 = 41.61/x
  3. Step 3: Cross multiply
    114.75x = 172.06 × 41.61
  4. Step 4: Simplify right side
    114.75x = 7,159.42
  5. Step 5: Solve for x
    x = 7,159.42/114.75
  6. Step 6: Final answer
    x = 62.39

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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.