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Finding the Fourth Proportional to 45.51, 68.10 and 37.88

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Solution

The fourth proportional to 45.51, 68.10 and 37.88 is: 56.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.51 : 68.10 = 37.88 : x
  2. Step 2: Convert to fraction form
    45.51/68.10 = 37.88/x
  3. Step 3: Cross multiply
    45.51x = 68.10 × 37.88
  4. Step 4: Simplify right side
    45.51x = 2,579.29
  5. Step 5: Solve for x
    x = 2,579.29/45.51
  6. Step 6: Final answer
    x = 56.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.