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Finding the Fourth Proportional to 130.04, 179.48 and 74.79

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Solution

The fourth proportional to 130.04, 179.48 and 74.79 is: 103.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.04 : 179.48 = 74.79 : x
  2. Step 2: Convert to fraction form
    130.04/179.48 = 74.79/x
  3. Step 3: Cross multiply
    130.04x = 179.48 × 74.79
  4. Step 4: Simplify right side
    130.04x = 13,423.50
  5. Step 5: Solve for x
    x = 13,423.50/130.04
  6. Step 6: Final answer
    x = 103.23

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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.