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Finding the Fourth Proportional to 145.40, 200.56 and 90.16

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Solution

The fourth proportional to 145.40, 200.56 and 90.16 is: 124.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.40 : 200.56 = 90.16 : x
  2. Step 2: Convert to fraction form
    145.40/200.56 = 90.16/x
  3. Step 3: Cross multiply
    145.40x = 200.56 × 90.16
  4. Step 4: Simplify right side
    145.40x = 18,082.49
  5. Step 5: Solve for x
    x = 18,082.49/145.40
  6. Step 6: Final answer
    x = 124.36

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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.