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Finding the Fourth Proportional to 106.54, 159.84 and 45.72

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Solution

The fourth proportional to 106.54, 159.84 and 45.72 is: 68.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.54 : 159.84 = 45.72 : x
  2. Step 2: Convert to fraction form
    106.54/159.84 = 45.72/x
  3. Step 3: Cross multiply
    106.54x = 159.84 × 45.72
  4. Step 4: Simplify right side
    106.54x = 7,307.88
  5. Step 5: Solve for x
    x = 7,307.88/106.54
  6. Step 6: Final answer
    x = 68.59

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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.