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Finding the Fourth Proportional to 130.09, 195.02 and 53.04

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Solution

The fourth proportional to 130.09, 195.02 and 53.04 is: 79.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.09 : 195.02 = 53.04 : x
  2. Step 2: Convert to fraction form
    130.09/195.02 = 53.04/x
  3. Step 3: Cross multiply
    130.09x = 195.02 × 53.04
  4. Step 4: Simplify right side
    130.09x = 10,343.86
  5. Step 5: Solve for x
    x = 10,343.86/130.09
  6. Step 6: Final answer
    x = 79.51

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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.