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Finding the Fourth Proportional to 130.08, 179.50 and 74.06

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Solution

The fourth proportional to 130.08, 179.50 and 74.06 is: 102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.08 : 179.50 = 74.06 : x
  2. Step 2: Convert to fraction form
    130.08/179.50 = 74.06/x
  3. Step 3: Cross multiply
    130.08x = 179.50 × 74.06
  4. Step 4: Simplify right side
    130.08x = 13,294.03
  5. Step 5: Solve for x
    x = 13,294.03/130.08
  6. Step 6: Final answer
    x = 102.20

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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.