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Finding the Fourth Proportional to 121.47, 181.18 and 101.99

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Solution

The fourth proportional to 121.47, 181.18 and 101.99 is: 152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.47 : 181.18 = 101.99 : x
  2. Step 2: Convert to fraction form
    121.47/181.18 = 101.99/x
  3. Step 3: Cross multiply
    121.47x = 181.18 × 101.99
  4. Step 4: Simplify right side
    121.47x = 18,477.64
  5. Step 5: Solve for x
    x = 18,477.64/121.47
  6. Step 6: Final answer
    x = 152.12

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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.