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Finding the Fourth Proportional to 113.40, 156.63 and 102.97

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Solution

The fourth proportional to 113.40, 156.63 and 102.97 is: 142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.40 : 156.63 = 102.97 : x
  2. Step 2: Convert to fraction form
    113.40/156.63 = 102.97/x
  3. Step 3: Cross multiply
    113.40x = 156.63 × 102.97
  4. Step 4: Simplify right side
    113.40x = 16,128.77
  5. Step 5: Solve for x
    x = 16,128.77/113.40
  6. Step 6: Final answer
    x = 142.23

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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.