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Finding the Fourth Proportional to 106.42, 159.64 and 48.66

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Solution

The fourth proportional to 106.42, 159.64 and 48.66 is: 72.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.42 : 159.64 = 48.66 : x
  2. Step 2: Convert to fraction form
    106.42/159.64 = 48.66/x
  3. Step 3: Cross multiply
    106.42x = 159.64 × 48.66
  4. Step 4: Simplify right side
    106.42x = 7,767.58
  5. Step 5: Solve for x
    x = 7,767.58/106.42
  6. Step 6: Final answer
    x = 72.99

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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.