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Finding the Fourth Proportional to 130.14, 195.08 and 53.07

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Solution

The fourth proportional to 130.14, 195.08 and 53.07 is: 79.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.14 : 195.08 = 53.07 : x
  2. Step 2: Convert to fraction form
    130.14/195.08 = 53.07/x
  3. Step 3: Cross multiply
    130.14x = 195.08 × 53.07
  4. Step 4: Simplify right side
    130.14x = 10,352.63
  5. Step 5: Solve for x
    x = 10,352.63/130.14
  6. Step 6: Final answer
    x = 79.55

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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.