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Finding the Fourth Proportional to 104.94, 156.65 and 99.66

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Solution

The fourth proportional to 104.94, 156.65 and 99.66 is: 148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.94 : 156.65 = 99.66 : x
  2. Step 2: Convert to fraction form
    104.94/156.65 = 99.66/x
  3. Step 3: Cross multiply
    104.94x = 156.65 × 99.66
  4. Step 4: Simplify right side
    104.94x = 15,611.24
  5. Step 5: Solve for x
    x = 15,611.24/104.94
  6. Step 6: Final answer
    x = 148.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.