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Finding the Fourth Proportional to 130.06, 179.47 and 74.80

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Solution

The fourth proportional to 130.06, 179.47 and 74.80 is: 103.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.06 : 179.47 = 74.80 : x
  2. Step 2: Convert to fraction form
    130.06/179.47 = 74.80/x
  3. Step 3: Cross multiply
    130.06x = 179.47 × 74.80
  4. Step 4: Simplify right side
    130.06x = 13,424.36
  5. Step 5: Solve for x
    x = 13,424.36/130.06
  6. Step 6: Final answer
    x = 103.22

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