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Finding the Fourth Proportional to 58.29, 80.51 and 58.02

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Solution

The fourth proportional to 58.29, 80.51 and 58.02 is: 80.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.29 : 80.51 = 58.02 : x
  2. Step 2: Convert to fraction form
    58.29/80.51 = 58.02/x
  3. Step 3: Cross multiply
    58.29x = 80.51 × 58.02
  4. Step 4: Simplify right side
    58.29x = 4,670.90
  5. Step 5: Solve for x
    x = 4,670.90/58.29
  6. Step 6: Final answer
    x = 80.13

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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.