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Finding the Fourth Proportional to 65.77, 90.63 and 52.68

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Solution

The fourth proportional to 65.77, 90.63 and 52.68 is: 72.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.77 : 90.63 = 52.68 : x
  2. Step 2: Convert to fraction form
    65.77/90.63 = 52.68/x
  3. Step 3: Cross multiply
    65.77x = 90.63 × 52.68
  4. Step 4: Simplify right side
    65.77x = 4,774.39
  5. Step 5: Solve for x
    x = 4,774.39/65.77
  6. Step 6: Final answer
    x = 72.59

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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.