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Finding the Fourth Proportional to 172.16, 258.23 and 42.16

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Solution

The fourth proportional to 172.16, 258.23 and 42.16 is: 63.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.16 : 258.23 = 42.16 : x
  2. Step 2: Convert to fraction form
    172.16/258.23 = 42.16/x
  3. Step 3: Cross multiply
    172.16x = 258.23 × 42.16
  4. Step 4: Simplify right side
    172.16x = 10,885.79
  5. Step 5: Solve for x
    x = 10,885.79/172.16
  6. Step 6: Final answer
    x = 63.23

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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.