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Finding the Fourth Proportional to 58.77, 87.77 and 58.14

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Solution

The fourth proportional to 58.77, 87.77 and 58.14 is: 86.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.77 : 87.77 = 58.14 : x
  2. Step 2: Convert to fraction form
    58.77/87.77 = 58.14/x
  3. Step 3: Cross multiply
    58.77x = 87.77 × 58.14
  4. Step 4: Simplify right side
    58.77x = 5,102.73
  5. Step 5: Solve for x
    x = 5,102.73/58.77
  6. Step 6: Final answer
    x = 86.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.