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Finding the Fourth Proportional to 65.25, 90.02 and 40.70

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Solution

The fourth proportional to 65.25, 90.02 and 40.70 is: 56.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.25 : 90.02 = 40.70 : x
  2. Step 2: Convert to fraction form
    65.25/90.02 = 40.70/x
  3. Step 3: Cross multiply
    65.25x = 90.02 × 40.70
  4. Step 4: Simplify right side
    65.25x = 3,664.14
  5. Step 5: Solve for x
    x = 3,664.14/65.25
  6. Step 6: Final answer
    x = 56.16

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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.