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Finding the Fourth Proportional to 106.49, 159.72 and 48.77

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Solution

The fourth proportional to 106.49, 159.72 and 48.77 is: 73.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.49 : 159.72 = 48.77 : x
  2. Step 2: Convert to fraction form
    106.49/159.72 = 48.77/x
  3. Step 3: Cross multiply
    106.49x = 159.72 × 48.77
  4. Step 4: Simplify right side
    106.49x = 7,788.75
  5. Step 5: Solve for x
    x = 7,788.75/106.49
  6. Step 6: Final answer
    x = 73.14

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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.