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Finding the Fourth Proportional to 73.88, 102.08 and 53.12

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Solution

The fourth proportional to 73.88, 102.08 and 53.12 is: 73.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.88 : 102.08 = 53.12 : x
  2. Step 2: Convert to fraction form
    73.88/102.08 = 53.12/x
  3. Step 3: Cross multiply
    73.88x = 102.08 × 53.12
  4. Step 4: Simplify right side
    73.88x = 5,421.71
  5. Step 5: Solve for x
    x = 5,421.71/73.88
  6. Step 6: Final answer
    x = 73.39

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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.