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Finding the Fourth Proportional to 53.88, 73.88 and 53.16

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Solution

The fourth proportional to 53.88, 73.88 and 53.16 is: 72.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.88 : 73.88 = 53.16 : x
  2. Step 2: Convert to fraction form
    53.88/73.88 = 53.16/x
  3. Step 3: Cross multiply
    53.88x = 73.88 × 53.16
  4. Step 4: Simplify right side
    53.88x = 3,927.46
  5. Step 5: Solve for x
    x = 3,927.46/53.88
  6. Step 6: Final answer
    x = 72.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.