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Finding the Fourth Proportional to 53.32, 78.88 and 53.32

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Solution

The fourth proportional to 53.32, 78.88 and 53.32 is: 78.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.32 : 78.88 = 53.32 : x
  2. Step 2: Convert to fraction form
    53.32/78.88 = 53.32/x
  3. Step 3: Cross multiply
    53.32x = 78.88 × 53.32
  4. Step 4: Simplify right side
    53.32x = 4,205.88
  5. Step 5: Solve for x
    x = 4,205.88/53.32
  6. Step 6: Final answer
    x = 78.88

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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.