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Finding the Fourth Proportional to 130.02, 195.45 and 113.13

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Solution

The fourth proportional to 130.02, 195.45 and 113.13 is: 170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.02 : 195.45 = 113.13 : x
  2. Step 2: Convert to fraction form
    130.02/195.45 = 113.13/x
  3. Step 3: Cross multiply
    130.02x = 195.45 × 113.13
  4. Step 4: Simplify right side
    130.02x = 22,111.26
  5. Step 5: Solve for x
    x = 22,111.26/130.02
  6. Step 6: Final answer
    x = 170.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.