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Finding the Fourth Proportional to 52.40, 72.16 and 50.64

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Solution

The fourth proportional to 52.40, 72.16 and 50.64 is: 69.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.40 : 72.16 = 50.64 : x
  2. Step 2: Convert to fraction form
    52.40/72.16 = 50.64/x
  3. Step 3: Cross multiply
    52.40x = 72.16 × 50.64
  4. Step 4: Simplify right side
    52.40x = 3,654.18
  5. Step 5: Solve for x
    x = 3,654.18/52.40
  6. Step 6: Final answer
    x = 69.74

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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.