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Finding the Fourth Proportional to 65.77, 90.78 and 52

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Solution

The fourth proportional to 65.77, 90.78 and 52 is: 71.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.77 : 90.78 = 52 : x
  2. Step 2: Convert to fraction form
    65.77/90.78 = 52/x
  3. Step 3: Cross multiply
    65.77x = 90.78 × 52
  4. Step 4: Simplify right side
    65.77x = 4,720.56
  5. Step 5: Solve for x
    x = 4,720.56/65.77
  6. Step 6: Final answer
    x = 71.77

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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.