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Finding the Fourth Proportional to 58.11, 86.66 and 49.41

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Solution

The fourth proportional to 58.11, 86.66 and 49.41 is: 73.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.11 : 86.66 = 49.41 : x
  2. Step 2: Convert to fraction form
    58.11/86.66 = 49.41/x
  3. Step 3: Cross multiply
    58.11x = 86.66 × 49.41
  4. Step 4: Simplify right side
    58.11x = 4,281.19
  5. Step 5: Solve for x
    x = 4,281.19/58.11
  6. Step 6: Final answer
    x = 73.67

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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.