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Finding the Fourth Proportional to 66.64, 99.23 and 64.92

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Solution

The fourth proportional to 66.64, 99.23 and 64.92 is: 96.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.64 : 99.23 = 64.92 : x
  2. Step 2: Convert to fraction form
    66.64/99.23 = 64.92/x
  3. Step 3: Cross multiply
    66.64x = 99.23 × 64.92
  4. Step 4: Simplify right side
    66.64x = 6,442.01
  5. Step 5: Solve for x
    x = 6,442.01/66.64
  6. Step 6: Final answer
    x = 96.67

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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.