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Finding the Fourth Proportional to 84.36, 116.40 and 56.69

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Solution

The fourth proportional to 84.36, 116.40 and 56.69 is: 78.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.36 : 116.40 = 56.69 : x
  2. Step 2: Convert to fraction form
    84.36/116.40 = 56.69/x
  3. Step 3: Cross multiply
    84.36x = 116.40 × 56.69
  4. Step 4: Simplify right side
    84.36x = 6,598.13
  5. Step 5: Solve for x
    x = 6,598.13/84.36
  6. Step 6: Final answer
    x = 78.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.