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Finding the Fourth Proportional to 116.48, 174.48 and 52.16

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Solution

The fourth proportional to 116.48, 174.48 and 52.16 is: 78.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.48 : 174.48 = 52.16 : x
  2. Step 2: Convert to fraction form
    116.48/174.48 = 52.16/x
  3. Step 3: Cross multiply
    116.48x = 174.48 × 52.16
  4. Step 4: Simplify right side
    116.48x = 9,100.88
  5. Step 5: Solve for x
    x = 9,100.88/116.48
  6. Step 6: Final answer
    x = 78.13

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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.