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Finding the Fourth Proportional to 130.64, 196.68 and 113

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Solution

The fourth proportional to 130.64, 196.68 and 113 is: 170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.64 : 196.68 = 113 : x
  2. Step 2: Convert to fraction form
    130.64/196.68 = 113/x
  3. Step 3: Cross multiply
    130.64x = 196.68 × 113
  4. Step 4: Simplify right side
    130.64x = 22,224.84
  5. Step 5: Solve for x
    x = 22,224.84/130.64
  6. Step 6: Final answer
    x = 170.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.