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Finding the Fourth Proportional to 130.42, 179.95 and 77.97

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Solution

The fourth proportional to 130.42, 179.95 and 77.97 is: 107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.42 : 179.95 = 77.97 : x
  2. Step 2: Convert to fraction form
    130.42/179.95 = 77.97/x
  3. Step 3: Cross multiply
    130.42x = 179.95 × 77.97
  4. Step 4: Simplify right side
    130.42x = 14,030.70
  5. Step 5: Solve for x
    x = 14,030.70/130.42
  6. Step 6: Final answer
    x = 107.58

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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.