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Finding the Fourth Proportional to 48.51, 72.66 and 46.89

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Solution

The fourth proportional to 48.51, 72.66 and 46.89 is: 70.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.51 : 72.66 = 46.89 : x
  2. Step 2: Convert to fraction form
    48.51/72.66 = 46.89/x
  3. Step 3: Cross multiply
    48.51x = 72.66 × 46.89
  4. Step 4: Simplify right side
    48.51x = 3,407.03
  5. Step 5: Solve for x
    x = 3,407.03/48.51
  6. Step 6: Final answer
    x = 70.23

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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.