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Finding the Fourth Proportional to 73.50, 101.28 and 65.68

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Solution

The fourth proportional to 73.50, 101.28 and 65.68 is: 90.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.50 : 101.28 = 65.68 : x
  2. Step 2: Convert to fraction form
    73.50/101.28 = 65.68/x
  3. Step 3: Cross multiply
    73.50x = 101.28 × 65.68
  4. Step 4: Simplify right side
    73.50x = 6,652.07
  5. Step 5: Solve for x
    x = 6,652.07/73.50
  6. Step 6: Final answer
    x = 90.50

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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.