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Finding the Fourth Proportional to 108.65, 162.93 and 40.16

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Solution

The fourth proportional to 108.65, 162.93 and 40.16 is: 60.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.65 : 162.93 = 40.16 : x
  2. Step 2: Convert to fraction form
    108.65/162.93 = 40.16/x
  3. Step 3: Cross multiply
    108.65x = 162.93 × 40.16
  4. Step 4: Simplify right side
    108.65x = 6,543.07
  5. Step 5: Solve for x
    x = 6,543.07/108.65
  6. Step 6: Final answer
    x = 60.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.