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Finding the Fourth Proportional to 58.56, 80.64 and 53.44

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Solution

The fourth proportional to 58.56, 80.64 and 53.44 is: 73.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.56 : 80.64 = 53.44 : x
  2. Step 2: Convert to fraction form
    58.56/80.64 = 53.44/x
  3. Step 3: Cross multiply
    58.56x = 80.64 × 53.44
  4. Step 4: Simplify right side
    58.56x = 4,309.40
  5. Step 5: Solve for x
    x = 4,309.40/58.56
  6. Step 6: Final answer
    x = 73.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.