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Finding the Fourth Proportional to 53.52, 79.64 and 50.64

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Solution

The fourth proportional to 53.52, 79.64 and 50.64 is: 75.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.52 : 79.64 = 50.64 : x
  2. Step 2: Convert to fraction form
    53.52/79.64 = 50.64/x
  3. Step 3: Cross multiply
    53.52x = 79.64 × 50.64
  4. Step 4: Simplify right side
    53.52x = 4,032.72
  5. Step 5: Solve for x
    x = 4,032.72/53.52
  6. Step 6: Final answer
    x = 75.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.