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Finding the Fourth Proportional to 71.24, 106.76 and 53.16

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Solution

The fourth proportional to 71.24, 106.76 and 53.16 is: 79.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.24 : 106.76 = 53.16 : x
  2. Step 2: Convert to fraction form
    71.24/106.76 = 53.16/x
  3. Step 3: Cross multiply
    71.24x = 106.76 × 53.16
  4. Step 4: Simplify right side
    71.24x = 5,675.36
  5. Step 5: Solve for x
    x = 5,675.36/71.24
  6. Step 6: Final answer
    x = 79.67

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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.