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Finding the Fourth Proportional to 141.69, 212.47 and 56.13

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Solution

The fourth proportional to 141.69, 212.47 and 56.13 is: 84.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.69 : 212.47 = 56.13 : x
  2. Step 2: Convert to fraction form
    141.69/212.47 = 56.13/x
  3. Step 3: Cross multiply
    141.69x = 212.47 × 56.13
  4. Step 4: Simplify right side
    141.69x = 11,924.60
  5. Step 5: Solve for x
    x = 11,924.60/141.69
  6. Step 6: Final answer
    x = 84.16

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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.