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Finding the Fourth Proportional to 52.96, 73.04 and 35.46

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Solution

The fourth proportional to 52.96, 73.04 and 35.46 is: 48.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.96 : 73.04 = 35.46 : x
  2. Step 2: Convert to fraction form
    52.96/73.04 = 35.46/x
  3. Step 3: Cross multiply
    52.96x = 73.04 × 35.46
  4. Step 4: Simplify right side
    52.96x = 2,590.00
  5. Step 5: Solve for x
    x = 2,590.00/52.96
  6. Step 6: Final answer
    x = 48.91

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Why These Related Problems?

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