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Finding the Fourth Proportional to 114.36, 157.70 and 102.82

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Solution

The fourth proportional to 114.36, 157.70 and 102.82 is: 141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.36 : 157.70 = 102.82 : x
  2. Step 2: Convert to fraction form
    114.36/157.70 = 102.82/x
  3. Step 3: Cross multiply
    114.36x = 157.70 × 102.82
  4. Step 4: Simplify right side
    114.36x = 16,214.29
  5. Step 5: Solve for x
    x = 16,214.29/114.36
  6. Step 6: Final answer
    x = 141.78

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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.