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Finding the Fourth Proportional to 78.04, 116.75 and 52.24

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Solution

The fourth proportional to 78.04, 116.75 and 52.24 is: 78.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.04 : 116.75 = 52.24 : x
  2. Step 2: Convert to fraction form
    78.04/116.75 = 52.24/x
  3. Step 3: Cross multiply
    78.04x = 116.75 × 52.24
  4. Step 4: Simplify right side
    78.04x = 6,098.18
  5. Step 5: Solve for x
    x = 6,098.18/78.04
  6. Step 6: Final answer
    x = 78.15

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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.