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Finding the Fourth Proportional to 65.49, 90.34 and 53.19

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Solution

The fourth proportional to 65.49, 90.34 and 53.19 is: 73.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.49 : 90.34 = 53.19 : x
  2. Step 2: Convert to fraction form
    65.49/90.34 = 53.19/x
  3. Step 3: Cross multiply
    65.49x = 90.34 × 53.19
  4. Step 4: Simplify right side
    65.49x = 4,805.18
  5. Step 5: Solve for x
    x = 4,805.18/65.49
  6. Step 6: Final answer
    x = 73.37

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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.