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Finding the Fourth Proportional to 130.33, 180.09 and 99.19

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Solution

The fourth proportional to 130.33, 180.09 and 99.19 is: 137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.33 : 180.09 = 99.19 : x
  2. Step 2: Convert to fraction form
    130.33/180.09 = 99.19/x
  3. Step 3: Cross multiply
    130.33x = 180.09 × 99.19
  4. Step 4: Simplify right side
    130.33x = 17,862.34
  5. Step 5: Solve for x
    x = 17,862.34/130.33
  6. Step 6: Final answer
    x = 137.06

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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.