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Finding the Fourth Proportional to 77, 106.26 and 42.50

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Solution

The fourth proportional to 77, 106.26 and 42.50 is: 58.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77 : 106.26 = 42.50 : x
  2. Step 2: Convert to fraction form
    77/106.26 = 42.50/x
  3. Step 3: Cross multiply
    77x = 106.26 × 42.50
  4. Step 4: Simplify right side
    77x = 4,516.05
  5. Step 5: Solve for x
    x = 4,516.05/77
  6. Step 6: Final answer
    x = 58.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.