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Finding the Fourth Proportional to 61.03, 84.16 and 47.19

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Solution

The fourth proportional to 61.03, 84.16 and 47.19 is: 65.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.03 : 84.16 = 47.19 : x
  2. Step 2: Convert to fraction form
    61.03/84.16 = 47.19/x
  3. Step 3: Cross multiply
    61.03x = 84.16 × 47.19
  4. Step 4: Simplify right side
    61.03x = 3,971.51
  5. Step 5: Solve for x
    x = 3,971.51/61.03
  6. Step 6: Final answer
    x = 65.07

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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.