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Finding the Fourth Proportional to 114.60, 152.10 and 114.60

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Solution

The fourth proportional to 114.60, 152.10 and 114.60 is: 152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.60 : 152.10 = 114.60 : x
  2. Step 2: Convert to fraction form
    114.60/152.10 = 114.60/x
  3. Step 3: Cross multiply
    114.60x = 152.10 × 114.60
  4. Step 4: Simplify right side
    114.60x = 17,430.66
  5. Step 5: Solve for x
    x = 17,430.66/114.60
  6. Step 6: Final answer
    x = 152.10

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.