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Finding the Fourth Proportional to 72.19, 107.73 and 64.50

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Solution

The fourth proportional to 72.19, 107.73 and 64.50 is: 96.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.19 : 107.73 = 64.50 : x
  2. Step 2: Convert to fraction form
    72.19/107.73 = 64.50/x
  3. Step 3: Cross multiply
    72.19x = 107.73 × 64.50
  4. Step 4: Simplify right side
    72.19x = 6,948.59
  5. Step 5: Solve for x
    x = 6,948.59/72.19
  6. Step 6: Final answer
    x = 96.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.