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Finding the Fourth Proportional to 130.80, 180.44 and 84.16

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Solution

The fourth proportional to 130.80, 180.44 and 84.16 is: 116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.80 : 180.44 = 84.16 : x
  2. Step 2: Convert to fraction form
    130.80/180.44 = 84.16/x
  3. Step 3: Cross multiply
    130.80x = 180.44 × 84.16
  4. Step 4: Simplify right side
    130.80x = 15,185.83
  5. Step 5: Solve for x
    x = 15,185.83/130.80
  6. Step 6: Final answer
    x = 116.10

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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.