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Finding the Fourth Proportional to 130.71, 196.32 and 105.00

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Solution

The fourth proportional to 130.71, 196.32 and 105.00 is: 157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.71 : 196.32 = 105.00 : x
  2. Step 2: Convert to fraction form
    130.71/196.32 = 105.00/x
  3. Step 3: Cross multiply
    130.71x = 196.32 × 105.00
  4. Step 4: Simplify right side
    130.71x = 20,613.26
  5. Step 5: Solve for x
    x = 20,613.26/130.71
  6. Step 6: Final answer
    x = 157.70

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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.