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Finding the Fourth Proportional to 65.98, 99.02 and 31.77

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Solution

The fourth proportional to 65.98, 99.02 and 31.77 is: 47.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.98 : 99.02 = 31.77 : x
  2. Step 2: Convert to fraction form
    65.98/99.02 = 31.77/x
  3. Step 3: Cross multiply
    65.98x = 99.02 × 31.77
  4. Step 4: Simplify right side
    65.98x = 3,145.21
  5. Step 5: Solve for x
    x = 3,145.21/65.98
  6. Step 6: Final answer
    x = 47.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.