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Finding the Fourth Proportional to 52.92, 79.65 and 48.06

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Solution

The fourth proportional to 52.92, 79.65 and 48.06 is: 72.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.92 : 79.65 = 48.06 : x
  2. Step 2: Convert to fraction form
    52.92/79.65 = 48.06/x
  3. Step 3: Cross multiply
    52.92x = 79.65 × 48.06
  4. Step 4: Simplify right side
    52.92x = 3,827.98
  5. Step 5: Solve for x
    x = 3,827.98/52.92
  6. Step 6: Final answer
    x = 72.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.