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Finding the Fourth Proportional to 114.43, 157.92 and 70.18

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Solution

The fourth proportional to 114.43, 157.92 and 70.18 is: 96.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.43 : 157.92 = 70.18 : x
  2. Step 2: Convert to fraction form
    114.43/157.92 = 70.18/x
  3. Step 3: Cross multiply
    114.43x = 157.92 × 70.18
  4. Step 4: Simplify right side
    114.43x = 11,082.43
  5. Step 5: Solve for x
    x = 11,082.43/114.43
  6. Step 6: Final answer
    x = 96.85

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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.