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Finding the Fourth Proportional to 130.31, 196.46 and 110.16

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Solution

The fourth proportional to 130.31, 196.46 and 110.16 is: 166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.31 : 196.46 = 110.16 : x
  2. Step 2: Convert to fraction form
    130.31/196.46 = 110.16/x
  3. Step 3: Cross multiply
    130.31x = 196.46 × 110.16
  4. Step 4: Simplify right side
    130.31x = 21,641.48
  5. Step 5: Solve for x
    x = 21,641.48/130.31
  6. Step 6: Final answer
    x = 166.08

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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.