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Finding the Fourth Proportional to 115.32, 172.14 and 106.76

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Solution

The fourth proportional to 115.32, 172.14 and 106.76 is: 159.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.32 : 172.14 = 106.76 : x
  2. Step 2: Convert to fraction form
    115.32/172.14 = 106.76/x
  3. Step 3: Cross multiply
    115.32x = 172.14 × 106.76
  4. Step 4: Simplify right side
    115.32x = 18,376.81
  5. Step 5: Solve for x
    x = 18,376.81/115.32
  6. Step 6: Final answer
    x = 159.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.