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Finding the Fourth Proportional to 130.51, 179.92 and 107.22

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Solution

The fourth proportional to 130.51, 179.92 and 107.22 is: 147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.51 : 179.92 = 107.22 : x
  2. Step 2: Convert to fraction form
    130.51/179.92 = 107.22/x
  3. Step 3: Cross multiply
    130.51x = 179.92 × 107.22
  4. Step 4: Simplify right side
    130.51x = 19,291.83
  5. Step 5: Solve for x
    x = 19,291.83/130.51
  6. Step 6: Final answer
    x = 147.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.