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Finding the Fourth Proportional to 130.11, 195.14 and 48.93

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Solution

The fourth proportional to 130.11, 195.14 and 48.93 is: 73.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.11 : 195.14 = 48.93 : x
  2. Step 2: Convert to fraction form
    130.11/195.14 = 48.93/x
  3. Step 3: Cross multiply
    130.11x = 195.14 × 48.93
  4. Step 4: Simplify right side
    130.11x = 9,547.96
  5. Step 5: Solve for x
    x = 9,547.96/130.11
  6. Step 6: Final answer
    x = 73.38

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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.