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Finding the Fourth Proportional to 58.02, 80.06 and 37.30

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Solution

The fourth proportional to 58.02, 80.06 and 37.30 is: 51.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.02 : 80.06 = 37.30 : x
  2. Step 2: Convert to fraction form
    58.02/80.06 = 37.30/x
  3. Step 3: Cross multiply
    58.02x = 80.06 × 37.30
  4. Step 4: Simplify right side
    58.02x = 2,986.24
  5. Step 5: Solve for x
    x = 2,986.24/58.02
  6. Step 6: Final answer
    x = 51.47

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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.