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Finding the Fourth Proportional to 130.25, 179.68 and 77.77

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Solution

The fourth proportional to 130.25, 179.68 and 77.77 is: 107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.25 : 179.68 = 77.77 : x
  2. Step 2: Convert to fraction form
    130.25/179.68 = 77.77/x
  3. Step 3: Cross multiply
    130.25x = 179.68 × 77.77
  4. Step 4: Simplify right side
    130.25x = 13,973.71
  5. Step 5: Solve for x
    x = 13,973.71/130.25
  6. Step 6: Final answer
    x = 107.28

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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.