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Finding the Fourth Proportional to 172.16, 237.64 and 106.64

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Solution

The fourth proportional to 172.16, 237.64 and 106.64 is: 147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.16 : 237.64 = 106.64 : x
  2. Step 2: Convert to fraction form
    172.16/237.64 = 106.64/x
  3. Step 3: Cross multiply
    172.16x = 237.64 × 106.64
  4. Step 4: Simplify right side
    172.16x = 25,341.93
  5. Step 5: Solve for x
    x = 25,341.93/172.16
  6. Step 6: Final answer
    x = 147.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.