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Finding the Fourth Proportional to 74.99, 103.53 and 51.67

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Solution

The fourth proportional to 74.99, 103.53 and 51.67 is: 71.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.99 : 103.53 = 51.67 : x
  2. Step 2: Convert to fraction form
    74.99/103.53 = 51.67/x
  3. Step 3: Cross multiply
    74.99x = 103.53 × 51.67
  4. Step 4: Simplify right side
    74.99x = 5,349.23
  5. Step 5: Solve for x
    x = 5,349.23/74.99
  6. Step 6: Final answer
    x = 71.33

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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.