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Finding the Fourth Proportional to 53.58, 79.71 and 51.15

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Solution

The fourth proportional to 53.58, 79.71 and 51.15 is: 76.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.58 : 79.71 = 51.15 : x
  2. Step 2: Convert to fraction form
    53.58/79.71 = 51.15/x
  3. Step 3: Cross multiply
    53.58x = 79.71 × 51.15
  4. Step 4: Simplify right side
    53.58x = 4,077.17
  5. Step 5: Solve for x
    x = 4,077.17/53.58
  6. Step 6: Final answer
    x = 76.09

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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.