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Finding the Fourth Proportional to 130.11, 195.03 and 65.01

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Solution

The fourth proportional to 130.11, 195.03 and 65.01 is: 97.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.11 : 195.03 = 65.01 : x
  2. Step 2: Convert to fraction form
    130.11/195.03 = 65.01/x
  3. Step 3: Cross multiply
    130.11x = 195.03 × 65.01
  4. Step 4: Simplify right side
    130.11x = 12,678.79
  5. Step 5: Solve for x
    x = 12,678.79/130.11
  6. Step 6: Final answer
    x = 97.45

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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.