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Finding the Fourth Proportional to 130.99, 196.35 and 49.81

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Solution

The fourth proportional to 130.99, 196.35 and 49.81 is: 74.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.99 : 196.35 = 49.81 : x
  2. Step 2: Convert to fraction form
    130.99/196.35 = 49.81/x
  3. Step 3: Cross multiply
    130.99x = 196.35 × 49.81
  4. Step 4: Simplify right side
    130.99x = 9,780.19
  5. Step 5: Solve for x
    x = 9,780.19/130.99
  6. Step 6: Final answer
    x = 74.66

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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.