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Finding the Fourth Proportional to 65.67, 98.06 and 58.77

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Solution

The fourth proportional to 65.67, 98.06 and 58.77 is: 87.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.67 : 98.06 = 58.77 : x
  2. Step 2: Convert to fraction form
    65.67/98.06 = 58.77/x
  3. Step 3: Cross multiply
    65.67x = 98.06 × 58.77
  4. Step 4: Simplify right side
    65.67x = 5,762.99
  5. Step 5: Solve for x
    x = 5,762.99/65.67
  6. Step 6: Final answer
    x = 87.76

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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.