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Finding the Fourth Proportional to 82.90, 114.48 and 64.60

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Solution

The fourth proportional to 82.90, 114.48 and 64.60 is: 89.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.90 : 114.48 = 64.60 : x
  2. Step 2: Convert to fraction form
    82.90/114.48 = 64.60/x
  3. Step 3: Cross multiply
    82.90x = 114.48 × 64.60
  4. Step 4: Simplify right side
    82.90x = 7,395.41
  5. Step 5: Solve for x
    x = 7,395.41/82.90
  6. Step 6: Final answer
    x = 89.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.