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Finding the Fourth Proportional to 169.35, 253.98 and 53.77

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Solution

The fourth proportional to 169.35, 253.98 and 53.77 is: 80.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.35 : 253.98 = 53.77 : x
  2. Step 2: Convert to fraction form
    169.35/253.98 = 53.77/x
  3. Step 3: Cross multiply
    169.35x = 253.98 × 53.77
  4. Step 4: Simplify right side
    169.35x = 13,656.50
  5. Step 5: Solve for x
    x = 13,656.50/169.35
  6. Step 6: Final answer
    x = 80.64

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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.