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Finding the Fourth Proportional to 60.65, 91.32 and 53.13

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Solution

The fourth proportional to 60.65, 91.32 and 53.13 is: 80.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.65 : 91.32 = 53.13 : x
  2. Step 2: Convert to fraction form
    60.65/91.32 = 53.13/x
  3. Step 3: Cross multiply
    60.65x = 91.32 × 53.13
  4. Step 4: Simplify right side
    60.65x = 4,851.83
  5. Step 5: Solve for x
    x = 4,851.83/60.65
  6. Step 6: Final answer
    x = 80.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.