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Finding the Fourth Proportional to 145.23, 200.43 and 101.06

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Solution

The fourth proportional to 145.23, 200.43 and 101.06 is: 139.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.23 : 200.43 = 101.06 : x
  2. Step 2: Convert to fraction form
    145.23/200.43 = 101.06/x
  3. Step 3: Cross multiply
    145.23x = 200.43 × 101.06
  4. Step 4: Simplify right side
    145.23x = 20,254.45
  5. Step 5: Solve for x
    x = 20,254.45/145.23
  6. Step 6: Final answer
    x = 139.46

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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.