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Finding the Fourth Proportional to 145.05, 200.46 and 110.07

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Solution

The fourth proportional to 145.05, 200.46 and 110.07 is: 152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.05 : 200.46 = 110.07 : x
  2. Step 2: Convert to fraction form
    145.05/200.46 = 110.07/x
  3. Step 3: Cross multiply
    145.05x = 200.46 × 110.07
  4. Step 4: Simplify right side
    145.05x = 22,064.63
  5. Step 5: Solve for x
    x = 22,064.63/145.05
  6. Step 6: Final answer
    x = 152.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.