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Finding the Fourth Proportional to 82.50, 114.15 and 70.83

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Solution

The fourth proportional to 82.50, 114.15 and 70.83 is: 98.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.50 : 114.15 = 70.83 : x
  2. Step 2: Convert to fraction form
    82.50/114.15 = 70.83/x
  3. Step 3: Cross multiply
    82.50x = 114.15 × 70.83
  4. Step 4: Simplify right side
    82.50x = 8,085.24
  5. Step 5: Solve for x
    x = 8,085.24/82.50
  6. Step 6: Final answer
    x = 98.00

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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.