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Finding the Fourth Proportional to 130.23, 194.94 and 101.07

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Solution

The fourth proportional to 130.23, 194.94 and 101.07 is: 151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.23 : 194.94 = 101.07 : x
  2. Step 2: Convert to fraction form
    130.23/194.94 = 101.07/x
  3. Step 3: Cross multiply
    130.23x = 194.94 × 101.07
  4. Step 4: Simplify right side
    130.23x = 19,702.59
  5. Step 5: Solve for x
    x = 19,702.59/130.23
  6. Step 6: Final answer
    x = 151.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.