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Finding the Fourth Proportional to 65.20, 89.96 and 53.20

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Solution

The fourth proportional to 65.20, 89.96 and 53.20 is: 73.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.20 : 89.96 = 53.20 : x
  2. Step 2: Convert to fraction form
    65.20/89.96 = 53.20/x
  3. Step 3: Cross multiply
    65.20x = 89.96 × 53.20
  4. Step 4: Simplify right side
    65.20x = 4,785.87
  5. Step 5: Solve for x
    x = 4,785.87/65.20
  6. Step 6: Final answer
    x = 73.40

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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.