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Finding the Fourth Proportional to 60.65, 83.65 and 58.02

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Solution

The fourth proportional to 60.65, 83.65 and 58.02 is: 80.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.65 : 83.65 = 58.02 : x
  2. Step 2: Convert to fraction form
    60.65/83.65 = 58.02/x
  3. Step 3: Cross multiply
    60.65x = 83.65 × 58.02
  4. Step 4: Simplify right side
    60.65x = 4,852.78
  5. Step 5: Solve for x
    x = 4,852.78/60.65
  6. Step 6: Final answer
    x = 80.01

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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.