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Finding the Fourth Proportional to 97.50, 134.56 and 53.84

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Solution

The fourth proportional to 97.50, 134.56 and 53.84 is: 74.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.50 : 134.56 = 53.84 : x
  2. Step 2: Convert to fraction form
    97.50/134.56 = 53.84/x
  3. Step 3: Cross multiply
    97.50x = 134.56 × 53.84
  4. Step 4: Simplify right side
    97.50x = 7,244.71
  5. Step 5: Solve for x
    x = 7,244.71/97.50
  6. Step 6: Final answer
    x = 74.30

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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.