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Finding the Fourth Proportional to 65.64, 91.12 and 64.94

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Solution

The fourth proportional to 65.64, 91.12 and 64.94 is: 90.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.64 : 91.12 = 64.94 : x
  2. Step 2: Convert to fraction form
    65.64/91.12 = 64.94/x
  3. Step 3: Cross multiply
    65.64x = 91.12 × 64.94
  4. Step 4: Simplify right side
    65.64x = 5,917.33
  5. Step 5: Solve for x
    x = 5,917.33/65.64
  6. Step 6: Final answer
    x = 90.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.