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Finding the Fourth Proportional to 115.70, 172.70 and 101.92

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Solution

The fourth proportional to 115.70, 172.70 and 101.92 is: 152.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.70 : 172.70 = 101.92 : x
  2. Step 2: Convert to fraction form
    115.70/172.70 = 101.92/x
  3. Step 3: Cross multiply
    115.70x = 172.70 × 101.92
  4. Step 4: Simplify right side
    115.70x = 17,601.58
  5. Step 5: Solve for x
    x = 17,601.58/115.70
  6. Step 6: Final answer
    x = 152.13

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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.