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Finding the Fourth Proportional to 162.93, 244.40 and 47.38

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Solution

The fourth proportional to 162.93, 244.40 and 47.38 is: 71.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.93 : 244.40 = 47.38 : x
  2. Step 2: Convert to fraction form
    162.93/244.40 = 47.38/x
  3. Step 3: Cross multiply
    162.93x = 244.40 × 47.38
  4. Step 4: Simplify right side
    162.93x = 11,579.67
  5. Step 5: Solve for x
    x = 11,579.67/162.93
  6. Step 6: Final answer
    x = 71.07

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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.