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Finding the Fourth Proportional to 46.07, 63.63 and 40.90

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Solution

The fourth proportional to 46.07, 63.63 and 40.90 is: 56.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.07 : 63.63 = 40.90 : x
  2. Step 2: Convert to fraction form
    46.07/63.63 = 40.90/x
  3. Step 3: Cross multiply
    46.07x = 63.63 × 40.90
  4. Step 4: Simplify right side
    46.07x = 2,602.47
  5. Step 5: Solve for x
    x = 2,602.47/46.07
  6. Step 6: Final answer
    x = 56.49

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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.