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Finding the Fourth Proportional to 58.60, 87.77 and 34.15

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Solution

The fourth proportional to 58.60, 87.77 and 34.15 is: 51.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.60 : 87.77 = 34.15 : x
  2. Step 2: Convert to fraction form
    58.60/87.77 = 34.15/x
  3. Step 3: Cross multiply
    58.60x = 87.77 × 34.15
  4. Step 4: Simplify right side
    58.60x = 2,997.21
  5. Step 5: Solve for x
    x = 2,997.21/58.60
  6. Step 6: Final answer
    x = 51.15

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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.