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Finding the Fourth Proportional to 53.63, 74.00 and 32.90

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Solution

The fourth proportional to 53.63, 74.00 and 32.90 is: 45.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.63 : 74.00 = 32.90 : x
  2. Step 2: Convert to fraction form
    53.63/74.00 = 32.90/x
  3. Step 3: Cross multiply
    53.63x = 74.00 × 32.90
  4. Step 4: Simplify right side
    53.63x = 2,434.31
  5. Step 5: Solve for x
    x = 2,434.31/53.63
  6. Step 6: Final answer
    x = 45.40

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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.