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Finding the Fourth Proportional to 141.45, 212.08 and 59.16

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Solution

The fourth proportional to 141.45, 212.08 and 59.16 is: 88.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.45 : 212.08 = 59.16 : x
  2. Step 2: Convert to fraction form
    141.45/212.08 = 59.16/x
  3. Step 3: Cross multiply
    141.45x = 212.08 × 59.16
  4. Step 4: Simplify right side
    141.45x = 12,546.65
  5. Step 5: Solve for x
    x = 12,546.65/141.45
  6. Step 6: Final answer
    x = 88.70

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Why These Related Problems?

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