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Finding the Fourth Proportional to 53.04, 72.96 and 45.74

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Solution

The fourth proportional to 53.04, 72.96 and 45.74 is: 62.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.04 : 72.96 = 45.74 : x
  2. Step 2: Convert to fraction form
    53.04/72.96 = 45.74/x
  3. Step 3: Cross multiply
    53.04x = 72.96 × 45.74
  4. Step 4: Simplify right side
    53.04x = 3,337.19
  5. Step 5: Solve for x
    x = 3,337.19/53.04
  6. Step 6: Final answer
    x = 62.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.