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Finding the Fourth Proportional to 73.37, 101.13 and 65.16

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Solution

The fourth proportional to 73.37, 101.13 and 65.16 is: 89.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.37 : 101.13 = 65.16 : x
  2. Step 2: Convert to fraction form
    73.37/101.13 = 65.16/x
  3. Step 3: Cross multiply
    73.37x = 101.13 × 65.16
  4. Step 4: Simplify right side
    73.37x = 6,589.63
  5. Step 5: Solve for x
    x = 6,589.63/73.37
  6. Step 6: Final answer
    x = 89.82

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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.