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Finding the Fourth Proportional to 145.01, 216.74 and 122.00

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Solution

The fourth proportional to 145.01, 216.74 and 122.00 is: 182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.01 : 216.74 = 122.00 : x
  2. Step 2: Convert to fraction form
    145.01/216.74 = 122.00/x
  3. Step 3: Cross multiply
    145.01x = 216.74 × 122.00
  4. Step 4: Simplify right side
    145.01x = 26,441.50
  5. Step 5: Solve for x
    x = 26,441.50/145.01
  6. Step 6: Final answer
    x = 182.34

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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.