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Finding the Fourth Proportional to 72.53, 108.70 and 42.05

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Solution

The fourth proportional to 72.53, 108.70 and 42.05 is: 63.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.53 : 108.70 = 42.05 : x
  2. Step 2: Convert to fraction form
    72.53/108.70 = 42.05/x
  3. Step 3: Cross multiply
    72.53x = 108.70 × 42.05
  4. Step 4: Simplify right side
    72.53x = 4,570.84
  5. Step 5: Solve for x
    x = 4,570.84/72.53
  6. Step 6: Final answer
    x = 63.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.