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Finding the Fourth Proportional to 141.70, 212.53 and 64.64

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Solution

The fourth proportional to 141.70, 212.53 and 64.64 is: 96.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.70 : 212.53 = 64.64 : x
  2. Step 2: Convert to fraction form
    141.70/212.53 = 64.64/x
  3. Step 3: Cross multiply
    141.70x = 212.53 × 64.64
  4. Step 4: Simplify right side
    141.70x = 13,737.94
  5. Step 5: Solve for x
    x = 13,737.94/141.70
  6. Step 6: Final answer
    x = 96.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.