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Finding the Fourth Proportional to 73.51, 100.95 and 65.32

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Solution

The fourth proportional to 73.51, 100.95 and 65.32 is: 89.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.51 : 100.95 = 65.32 : x
  2. Step 2: Convert to fraction form
    73.51/100.95 = 65.32/x
  3. Step 3: Cross multiply
    73.51x = 100.95 × 65.32
  4. Step 4: Simplify right side
    73.51x = 6,593.56
  5. Step 5: Solve for x
    x = 6,593.56/73.51
  6. Step 6: Final answer
    x = 89.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.