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Finding the Fourth Proportional to 65.64, 97.79 and 61.50

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Solution

The fourth proportional to 65.64, 97.79 and 61.50 is: 91.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.64 : 97.79 = 61.50 : x
  2. Step 2: Convert to fraction form
    65.64/97.79 = 61.50/x
  3. Step 3: Cross multiply
    65.64x = 97.79 × 61.50
  4. Step 4: Simplify right side
    65.64x = 6,014.09
  5. Step 5: Solve for x
    x = 6,014.09/65.64
  6. Step 6: Final answer
    x = 91.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.