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Finding the Fourth Proportional to 114.29, 157.70 and 65.18

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Solution

The fourth proportional to 114.29, 157.70 and 65.18 is: 89.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.29 : 157.70 = 65.18 : x
  2. Step 2: Convert to fraction form
    114.29/157.70 = 65.18/x
  3. Step 3: Cross multiply
    114.29x = 157.70 × 65.18
  4. Step 4: Simplify right side
    114.29x = 10,279.44
  5. Step 5: Solve for x
    x = 10,279.44/114.29
  6. Step 6: Final answer
    x = 89.95

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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.