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Finding the Fourth Proportional to 45.63, 63 and 40.77

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Solution

The fourth proportional to 45.63, 63 and 40.77 is: 56.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.63 : 63 = 40.77 : x
  2. Step 2: Convert to fraction form
    45.63/63 = 40.77/x
  3. Step 3: Cross multiply
    45.63x = 63 × 40.77
  4. Step 4: Simplify right side
    45.63x = 2,568.51
  5. Step 5: Solve for x
    x = 2,568.51/45.63
  6. Step 6: Final answer
    x = 56.29

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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.