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Finding the Fourth Proportional to 130.31, 195.06 and 99.77

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Solution

The fourth proportional to 130.31, 195.06 and 99.77 is: 149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.31 : 195.06 = 99.77 : x
  2. Step 2: Convert to fraction form
    130.31/195.06 = 99.77/x
  3. Step 3: Cross multiply
    130.31x = 195.06 × 99.77
  4. Step 4: Simplify right side
    130.31x = 19,461.14
  5. Step 5: Solve for x
    x = 19,461.14/130.31
  6. Step 6: Final answer
    x = 149.34

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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.