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Finding the Fourth Proportional to 53.66, 79.91 and 51.32

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Solution

The fourth proportional to 53.66, 79.91 and 51.32 is: 76.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.66 : 79.91 = 51.32 : x
  2. Step 2: Convert to fraction form
    53.66/79.91 = 51.32/x
  3. Step 3: Cross multiply
    53.66x = 79.91 × 51.32
  4. Step 4: Simplify right side
    53.66x = 4,100.33
  5. Step 5: Solve for x
    x = 4,100.33/53.66
  6. Step 6: Final answer
    x = 76.42

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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.