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Finding the Fourth Proportional to 145.21, 200.30 and 100.93

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Solution

The fourth proportional to 145.21, 200.30 and 100.93 is: 139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.21 : 200.30 = 100.93 : x
  2. Step 2: Convert to fraction form
    145.21/200.30 = 100.93/x
  3. Step 3: Cross multiply
    145.21x = 200.30 × 100.93
  4. Step 4: Simplify right side
    145.21x = 20,216.28
  5. Step 5: Solve for x
    x = 20,216.28/145.21
  6. Step 6: Final answer
    x = 139.22

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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.