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Finding the Fourth Proportional to 106.54, 159.69 and 45.64

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Solution

The fourth proportional to 106.54, 159.69 and 45.64 is: 68.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.54 : 159.69 = 45.64 : x
  2. Step 2: Convert to fraction form
    106.54/159.69 = 45.64/x
  3. Step 3: Cross multiply
    106.54x = 159.69 × 45.64
  4. Step 4: Simplify right side
    106.54x = 7,288.25
  5. Step 5: Solve for x
    x = 7,288.25/106.54
  6. Step 6: Final answer
    x = 68.41

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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.