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Finding the Fourth Proportional to 114.35, 157.98 and 85.61

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Solution

The fourth proportional to 114.35, 157.98 and 85.61 is: 118.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.35 : 157.98 = 85.61 : x
  2. Step 2: Convert to fraction form
    114.35/157.98 = 85.61/x
  3. Step 3: Cross multiply
    114.35x = 157.98 × 85.61
  4. Step 4: Simplify right side
    114.35x = 13,524.67
  5. Step 5: Solve for x
    x = 13,524.67/114.35
  6. Step 6: Final answer
    x = 118.27

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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.