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Finding the Fourth Proportional to 78.14, 116.80 and 56.28

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Solution

The fourth proportional to 78.14, 116.80 and 56.28 is: 84.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.14 : 116.80 = 56.28 : x
  2. Step 2: Convert to fraction form
    78.14/116.80 = 56.28/x
  3. Step 3: Cross multiply
    78.14x = 116.80 × 56.28
  4. Step 4: Simplify right side
    78.14x = 6,573.50
  5. Step 5: Solve for x
    x = 6,573.50/78.14
  6. Step 6: Final answer
    x = 84.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.