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Finding the Fourth Proportional to 67.64, 93.24 and 53.06

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Solution

The fourth proportional to 67.64, 93.24 and 53.06 is: 73.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.64 : 93.24 = 53.06 : x
  2. Step 2: Convert to fraction form
    67.64/93.24 = 53.06/x
  3. Step 3: Cross multiply
    67.64x = 93.24 × 53.06
  4. Step 4: Simplify right side
    67.64x = 4,947.31
  5. Step 5: Solve for x
    x = 4,947.31/67.64
  6. Step 6: Final answer
    x = 73.14

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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.