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Finding the Fourth Proportional to 107.37, 147.95 and 72.81

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Solution

The fourth proportional to 107.37, 147.95 and 72.81 is: 100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.37 : 147.95 = 72.81 : x
  2. Step 2: Convert to fraction form
    107.37/147.95 = 72.81/x
  3. Step 3: Cross multiply
    107.37x = 147.95 × 72.81
  4. Step 4: Simplify right side
    107.37x = 10,771.88
  5. Step 5: Solve for x
    x = 10,771.88/107.37
  6. Step 6: Final answer
    x = 100.32

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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.