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Finding the Fourth Proportional to 72.64, 109.16 and 61.84

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Solution

The fourth proportional to 72.64, 109.16 and 61.84 is: 92.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.64 : 109.16 = 61.84 : x
  2. Step 2: Convert to fraction form
    72.64/109.16 = 61.84/x
  3. Step 3: Cross multiply
    72.64x = 109.16 × 61.84
  4. Step 4: Simplify right side
    72.64x = 6,750.45
  5. Step 5: Solve for x
    x = 6,750.45/72.64
  6. Step 6: Final answer
    x = 92.93

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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.