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Finding the Fourth Proportional to 58.40, 79.92 and 57.06

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Solution

The fourth proportional to 58.40, 79.92 and 57.06 is: 78.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.40 : 79.92 = 57.06 : x
  2. Step 2: Convert to fraction form
    58.40/79.92 = 57.06/x
  3. Step 3: Cross multiply
    58.40x = 79.92 × 57.06
  4. Step 4: Simplify right side
    58.40x = 4,560.24
  5. Step 5: Solve for x
    x = 4,560.24/58.40
  6. Step 6: Final answer
    x = 78.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.