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Finding the Fourth Proportional to 145.40, 200.72 and 89.40

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Solution

The fourth proportional to 145.40, 200.72 and 89.40 is: 123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.40 : 200.72 = 89.40 : x
  2. Step 2: Convert to fraction form
    145.40/200.72 = 89.40/x
  3. Step 3: Cross multiply
    145.40x = 200.72 × 89.40
  4. Step 4: Simplify right side
    145.40x = 17,943.92
  5. Step 5: Solve for x
    x = 17,943.92/145.40
  6. Step 6: Final answer
    x = 123.41

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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.