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Finding the Fourth Proportional to 58.30, 80.40 and 57.10

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Solution

The fourth proportional to 58.30, 80.40 and 57.10 is: 78.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.30 : 80.40 = 57.10 : x
  2. Step 2: Convert to fraction form
    58.30/80.40 = 57.10/x
  3. Step 3: Cross multiply
    58.30x = 80.40 × 57.10
  4. Step 4: Simplify right side
    58.30x = 4,590.84
  5. Step 5: Solve for x
    x = 4,590.84/58.30
  6. Step 6: Final answer
    x = 78.75

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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.