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Finding the Fourth Proportional to 66.40, 92.08 and 64.96

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Solution

The fourth proportional to 66.40, 92.08 and 64.96 is: 90.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.40 : 92.08 = 64.96 : x
  2. Step 2: Convert to fraction form
    66.40/92.08 = 64.96/x
  3. Step 3: Cross multiply
    66.40x = 92.08 × 64.96
  4. Step 4: Simplify right side
    66.40x = 5,981.52
  5. Step 5: Solve for x
    x = 5,981.52/66.40
  6. Step 6: Final answer
    x = 90.08

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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.