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Finding the Fourth Proportional to 72.63, 100.10 and 51.94

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Solution

The fourth proportional to 72.63, 100.10 and 51.94 is: 71.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.63 : 100.10 = 51.94 : x
  2. Step 2: Convert to fraction form
    72.63/100.10 = 51.94/x
  3. Step 3: Cross multiply
    72.63x = 100.10 × 51.94
  4. Step 4: Simplify right side
    72.63x = 5,199.45
  5. Step 5: Solve for x
    x = 5,199.45/72.63
  6. Step 6: Final answer
    x = 71.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.