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Finding the Fourth Proportional to 114.07, 171.08 and 45.61

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Solution

The fourth proportional to 114.07, 171.08 and 45.61 is: 68.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.07 : 171.08 = 45.61 : x
  2. Step 2: Convert to fraction form
    114.07/171.08 = 45.61/x
  3. Step 3: Cross multiply
    114.07x = 171.08 × 45.61
  4. Step 4: Simplify right side
    114.07x = 7,802.96
  5. Step 5: Solve for x
    x = 7,802.96/114.07
  6. Step 6: Final answer
    x = 68.41

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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.