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Finding the Fourth Proportional to 59.37, 88.68 and 47.98

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Solution

The fourth proportional to 59.37, 88.68 and 47.98 is: 71.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.37 : 88.68 = 47.98 : x
  2. Step 2: Convert to fraction form
    59.37/88.68 = 47.98/x
  3. Step 3: Cross multiply
    59.37x = 88.68 × 47.98
  4. Step 4: Simplify right side
    59.37x = 4,254.87
  5. Step 5: Solve for x
    x = 4,254.87/59.37
  6. Step 6: Final answer
    x = 71.67

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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.