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Finding the Fourth Proportional to 456.16, 684.23 and 114.16

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Solution

The fourth proportional to 456.16, 684.23 and 114.16 is: 171.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.16 : 684.23 = 114.16 : x
  2. Step 2: Convert to fraction form
    456.16/684.23 = 114.16/x
  3. Step 3: Cross multiply
    456.16x = 684.23 × 114.16
  4. Step 4: Simplify right side
    456.16x = 78,111.70
  5. Step 5: Solve for x
    x = 78,111.70/456.16
  6. Step 6: Final answer
    x = 171.24

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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.