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Finding the Fourth Proportional to 52.99, 73.14 and 34.54

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Solution

The fourth proportional to 52.99, 73.14 and 34.54 is: 47.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.99 : 73.14 = 34.54 : x
  2. Step 2: Convert to fraction form
    52.99/73.14 = 34.54/x
  3. Step 3: Cross multiply
    52.99x = 73.14 × 34.54
  4. Step 4: Simplify right side
    52.99x = 2,526.26
  5. Step 5: Solve for x
    x = 2,526.26/52.99
  6. Step 6: Final answer
    x = 47.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.