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Finding the Fourth Proportional to 76.48, 115.40 and 73.67

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Solution

The fourth proportional to 76.48, 115.40 and 73.67 is: 111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.48 : 115.40 = 73.67 : x
  2. Step 2: Convert to fraction form
    76.48/115.40 = 73.67/x
  3. Step 3: Cross multiply
    76.48x = 115.40 × 73.67
  4. Step 4: Simplify right side
    76.48x = 8,501.52
  5. Step 5: Solve for x
    x = 8,501.52/76.48
  6. Step 6: Final answer
    x = 111.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.