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Finding the Fourth Proportional to 153.04, 211.02 and 114.16

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Solution

The fourth proportional to 153.04, 211.02 and 114.16 is: 157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.04 : 211.02 = 114.16 : x
  2. Step 2: Convert to fraction form
    153.04/211.02 = 114.16/x
  3. Step 3: Cross multiply
    153.04x = 211.02 × 114.16
  4. Step 4: Simplify right side
    153.04x = 24,090.04
  5. Step 5: Solve for x
    x = 24,090.04/153.04
  6. Step 6: Final answer
    x = 157.41

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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.