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Finding the Fourth Proportional to 48.59, 72.63 and 42.23

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Solution

The fourth proportional to 48.59, 72.63 and 42.23 is: 63.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.59 : 72.63 = 42.23 : x
  2. Step 2: Convert to fraction form
    48.59/72.63 = 42.23/x
  3. Step 3: Cross multiply
    48.59x = 72.63 × 42.23
  4. Step 4: Simplify right side
    48.59x = 3,066.80
  5. Step 5: Solve for x
    x = 3,066.80/48.59
  6. Step 6: Final answer
    x = 63.12

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