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Finding the Fourth Proportional to 145.16, 200.45 and 124.64

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Solution

The fourth proportional to 145.16, 200.45 and 124.64 is: 172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.16 : 200.45 = 124.64 : x
  2. Step 2: Convert to fraction form
    145.16/200.45 = 124.64/x
  3. Step 3: Cross multiply
    145.16x = 200.45 × 124.64
  4. Step 4: Simplify right side
    145.16x = 24,983.46
  5. Step 5: Solve for x
    x = 24,983.46/145.16
  6. Step 6: Final answer
    x = 172.11

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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.