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Finding the Fourth Proportional to 112.64, 169.02 and 51.77

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Solution

The fourth proportional to 112.64, 169.02 and 51.77 is: 77.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.64 : 169.02 = 51.77 : x
  2. Step 2: Convert to fraction form
    112.64/169.02 = 51.77/x
  3. Step 3: Cross multiply
    112.64x = 169.02 × 51.77
  4. Step 4: Simplify right side
    112.64x = 8,749.32
  5. Step 5: Solve for x
    x = 8,749.32/112.64
  6. Step 6: Final answer
    x = 77.67

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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.