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Finding the Fourth Proportional to 114.62, 157.34 and 109.35

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Solution

The fourth proportional to 114.62, 157.34 and 109.35 is: 150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.62 : 157.34 = 109.35 : x
  2. Step 2: Convert to fraction form
    114.62/157.34 = 109.35/x
  3. Step 3: Cross multiply
    114.62x = 157.34 × 109.35
  4. Step 4: Simplify right side
    114.62x = 17,205.40
  5. Step 5: Solve for x
    x = 17,205.40/114.62
  6. Step 6: Final answer
    x = 150.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.