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Finding the Fourth Proportional to 65.82, 89.58 and 64.74

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Solution

The fourth proportional to 65.82, 89.58 and 64.74 is: 88.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.82 : 89.58 = 64.74 : x
  2. Step 2: Convert to fraction form
    65.82/89.58 = 64.74/x
  3. Step 3: Cross multiply
    65.82x = 89.58 × 64.74
  4. Step 4: Simplify right side
    65.82x = 5,799.41
  5. Step 5: Solve for x
    x = 5,799.41/65.82
  6. Step 6: Final answer
    x = 88.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.