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Finding the Fourth Proportional to 48.96, 73.37 and 43.16

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Solution

The fourth proportional to 48.96, 73.37 and 43.16 is: 64.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.96 : 73.37 = 43.16 : x
  2. Step 2: Convert to fraction form
    48.96/73.37 = 43.16/x
  3. Step 3: Cross multiply
    48.96x = 73.37 × 43.16
  4. Step 4: Simplify right side
    48.96x = 3,166.07
  5. Step 5: Solve for x
    x = 3,166.07/48.96
  6. Step 6: Final answer
    x = 64.67

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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.