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Finding the Fourth Proportional to 130.50, 195.54 and 101.54

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Solution

The fourth proportional to 130.50, 195.54 and 101.54 is: 152.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.50 : 195.54 = 101.54 : x
  2. Step 2: Convert to fraction form
    130.50/195.54 = 101.54/x
  3. Step 3: Cross multiply
    130.50x = 195.54 × 101.54
  4. Step 4: Simplify right side
    130.50x = 19,855.13
  5. Step 5: Solve for x
    x = 19,855.13/130.50
  6. Step 6: Final answer
    x = 152.15

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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.