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Finding the Fourth Proportional to 58.16, 87.13 and 27.69

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Solution

The fourth proportional to 58.16, 87.13 and 27.69 is: 41.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.16 : 87.13 = 27.69 : x
  2. Step 2: Convert to fraction form
    58.16/87.13 = 27.69/x
  3. Step 3: Cross multiply
    58.16x = 87.13 × 27.69
  4. Step 4: Simplify right side
    58.16x = 2,412.06
  5. Step 5: Solve for x
    x = 2,412.06/58.16
  6. Step 6: Final answer
    x = 41.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.