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Finding the Fourth Proportional to 145.14, 216.50 and 122.06

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Solution

The fourth proportional to 145.14, 216.50 and 122.06 is: 182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.14 : 216.50 = 122.06 : x
  2. Step 2: Convert to fraction form
    145.14/216.50 = 122.06/x
  3. Step 3: Cross multiply
    145.14x = 216.50 × 122.06
  4. Step 4: Simplify right side
    145.14x = 26,425.99
  5. Step 5: Solve for x
    x = 26,425.99/145.14
  6. Step 6: Final answer
    x = 182.07

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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.