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Finding the Fourth Proportional to 82.53, 114.02 and 55.01

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Solution

The fourth proportional to 82.53, 114.02 and 55.01 is: 75.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.53 : 114.02 = 55.01 : x
  2. Step 2: Convert to fraction form
    82.53/114.02 = 55.01/x
  3. Step 3: Cross multiply
    82.53x = 114.02 × 55.01
  4. Step 4: Simplify right side
    82.53x = 6,271.40
  5. Step 5: Solve for x
    x = 6,271.40/82.53
  6. Step 6: Final answer
    x = 75.99

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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.