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Finding the Fourth Proportional to 130, 194.68 and 101.05

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Solution

The fourth proportional to 130, 194.68 and 101.05 is: 151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130 : 194.68 = 101.05 : x
  2. Step 2: Convert to fraction form
    130/194.68 = 101.05/x
  3. Step 3: Cross multiply
    130x = 194.68 × 101.05
  4. Step 4: Simplify right side
    130x = 19,672.41
  5. Step 5: Solve for x
    x = 19,672.41/130
  6. Step 6: Final answer
    x = 151.33

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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.