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Finding the Fourth Proportional to 130.02, 195.22 and 78.51

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Solution

The fourth proportional to 130.02, 195.22 and 78.51 is: 117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.02 : 195.22 = 78.51 : x
  2. Step 2: Convert to fraction form
    130.02/195.22 = 78.51/x
  3. Step 3: Cross multiply
    130.02x = 195.22 × 78.51
  4. Step 4: Simplify right side
    130.02x = 15,326.72
  5. Step 5: Solve for x
    x = 15,326.72/130.02
  6. Step 6: Final answer
    x = 117.88

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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.