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Finding the Fourth Proportional to 58.29, 80.45 and 32.06

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Solution

The fourth proportional to 58.29, 80.45 and 32.06 is: 44.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.29 : 80.45 = 32.06 : x
  2. Step 2: Convert to fraction form
    58.29/80.45 = 32.06/x
  3. Step 3: Cross multiply
    58.29x = 80.45 × 32.06
  4. Step 4: Simplify right side
    58.29x = 2,579.42
  5. Step 5: Solve for x
    x = 2,579.42/58.29
  6. Step 6: Final answer
    x = 44.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.