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Finding the Fourth Proportional to 88.25, 130.53 and 88.25

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Solution

The fourth proportional to 88.25, 130.53 and 88.25 is: 130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.25 : 130.53 = 88.25 : x
  2. Step 2: Convert to fraction form
    88.25/130.53 = 88.25/x
  3. Step 3: Cross multiply
    88.25x = 130.53 × 88.25
  4. Step 4: Simplify right side
    88.25x = 11,518.95
  5. Step 5: Solve for x
    x = 11,518.95/88.25
  6. Step 6: Final answer
    x = 130.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.