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Finding the Fourth Proportional to 58.65, 80.90 and 42.05

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Solution

The fourth proportional to 58.65, 80.90 and 42.05 is: 58.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.65 : 80.90 = 42.05 : x
  2. Step 2: Convert to fraction form
    58.65/80.90 = 42.05/x
  3. Step 3: Cross multiply
    58.65x = 80.90 × 42.05
  4. Step 4: Simplify right side
    58.65x = 3,401.84
  5. Step 5: Solve for x
    x = 3,401.84/58.65
  6. Step 6: Final answer
    x = 58.00

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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.