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Finding the Fourth Proportional to 116.53, 174.87 and 116.10

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Solution

The fourth proportional to 116.53, 174.87 and 116.10 is: 174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.53 : 174.87 = 116.10 : x
  2. Step 2: Convert to fraction form
    116.53/174.87 = 116.10/x
  3. Step 3: Cross multiply
    116.53x = 174.87 × 116.10
  4. Step 4: Simplify right side
    116.53x = 20,302.41
  5. Step 5: Solve for x
    x = 20,302.41/116.53
  6. Step 6: Final answer
    x = 174.23

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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.