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Finding the Fourth Proportional to 53.38, 78.98 and 53.22

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Solution

The fourth proportional to 53.38, 78.98 and 53.22 is: 78.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.38 : 78.98 = 53.22 : x
  2. Step 2: Convert to fraction form
    53.38/78.98 = 53.22/x
  3. Step 3: Cross multiply
    53.38x = 78.98 × 53.22
  4. Step 4: Simplify right side
    53.38x = 4,203.32
  5. Step 5: Solve for x
    x = 4,203.32/53.38
  6. Step 6: Final answer
    x = 78.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.